In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. ln(x + 1) = ln x + ln 1

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. ln(5x) + ln 1 = ln(5x)

Solve each equation. 2|ln x|−6=0

Evaluate or simplify each expression without using a calculator. In e^9x

Find all zeros of f(x) = x³ + 5x² – 8x + 2.

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. ln x + ln(2x) = ln(3x)

Solve each equation. 3|log x|−6=0

Evaluate or simplify each expression without using a calculator. $e^{\ln 5x^2}$

Solve each equation. $3^{x^2} = 45$

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log(x + 3) - log(2x) = [log(x + 3)/log(2x)]

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. $\left[\frac{log(x+2)}{log(x-1)}\right]=log(x+2)-log(x-1)$

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. $\log_6 \left( \frac{x - 1}{x^2 + 4} \right) = \log_6 (x - 1) - \log_6 (x^2 + 4)$

Solve each equation. ln(2x+1)+ln(x−3)−2 ln x=0

Evaluate or simplify each expression without using a calculator. 10^{log √x}

Evaluate or simplify each expression without using a calculator. 10^{log ∛x}

Solve each equation. ln 3−ln(x+5)−ln x=0

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log₆ [4(x + 1)] = log₆ (4) + log₆ (x + 1)

Solve each equation. $5^{x^2 - 12} = 25^{2x}$

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log₃ (7) = 1/[log₇ (3)]

Write each equation in its equivalent exponential form. Then solve for x. log₃ (x-1) = 2

In Exercises 101–104, write each equation in its equivalent exponential form. Then solve for x. log₄x=-3

In Exercises 105–108, evaluate each expression without using a calculator. log₅ (log₇ 7)

In Exercises 105–108, evaluate each expression without using a calculator. log₅ (log₂ 32)

In Exercises 105–108, evaluate each expression without using a calculator. log₂ (log₃ 81)

In Exercises 105–108, evaluate each expression without using a calculator. log (ln e)

In Exercises 109–112, find the domain of each logarithmic function. f(x) = ln (x² - x − 2)

In Exercises 109–112, find the domain of each logarithmic function. f(x) = log[(x+1)/(x-5)]

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

$\frac{lo{g}_{7}49}{lo{g}_{7}7}=lo{g}_{7}49-lo{g}_{7}7$

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

$lo{g}_b(x^3+y^3)=3lo{g}_{b}x+3lo{g}_{b}y$

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

log_b (xy)⁵ = (log_b x + log_b y)⁵