Solve each equation. (5/2)^x = 4/25

Solve each equation. Give solutions in exact form. ln(4x - 2) - ln 4 = -ln(x - 2)

Solve each equation. Give solutions in exact form. See Examples 5–9. ln(5 + 4x) - ln(3 + x) = ln 3

Solve each equation. Give solutions in exact form. See Examples 5–9. . log₅ (x + 2) + log₅ (x - 2) = 1

Graph the inverse of each one-to-one function.

Solve each equation. Give solutions in exact form. See Examples 5–9. log₂ (2x - 3) + log₂ (x + 1) = 1

Graph the inverse of each one-to-one function.

Solve each equation. Give solutions in exact form. ln e^x - 2 ln e = ln e⁴

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log₂ 5

Graph the inverse of each one-to-one function.

Graph the inverse of each one-to-one function.

Solve each equation. Give solutions in exact form. log₂ (log₂ x) = 1

Solve each equation. 4^x-2 = 2^3x+3

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log₈ 0.59

Graph the inverse of each one-to-one function.

Graph the inverse of each one-to-one function.

Solve each equation. Give solutions in exact form. log x² = (log x)²

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log_1/2 3

Solve each equation. See Examples 4–6. x^2/3 = 4

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log_π e

Solve each equation. x^5/2 = 32

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log_√13 12

Solve each equation for the indicated variable. Use logarithms with the appropriate bases. p = a + (k/ln x), for x

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log_√19 5

Solve each equation for the indicated variable. Use logarithms with the appropriate bases. r = p - k ln t, for t

Solve each equation. (1/e)^-x = (1/e²)^x+1

Let u = ln a and v = ln b. Write each expression in terms of u and v without using the ln function. ln (b⁴ √a)

Solve each equation for the indicated variable. Use logarithms with the appropriate bases. $I=\frac{E}{R}(1-e^{-\frac{Rt}{2}}),\text{ for }t$

Solve each equation for the indicated variable. Use logarithms with the appropriate bases. See Example 10. y = K/(1+ae^-bx), for b

Let u = ln a and v = ln b. Write each expression in terms of u and v without using the ln function. ln √(a³/b⁵)