0. Functions

Logarithmic Functions

0. Functions

Logarithmic Functions

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Multiple Choice

Convert the following exponential expression to its equivalent logarithmic form.
$3^{x}=7$

$\log_37=x$

$\log_73=x$

$\log_3x=7$

$\log7=3^{x}$

Verified step by step guidance

Step 1: Recall the relationship between exponential and logarithmic forms. If you have an exponential equation of the form a^b = c, it can be rewritten in logarithmic form as log_a(c) = b.

Step 2: Identify the base, exponent, and result in the given exponential equation. In this case, the base is 3, the exponent is x, and the result is 7.

Step 3: Apply the logarithmic conversion rule. Rewrite the equation 3^x = 7 in logarithmic form as log_3(7) = x.

Step 4: Verify the rewritten logarithmic form. Ensure that the base (3), the argument (7), and the result (x) are correctly placed in the logarithmic expression.

Step 5: Compare the rewritten logarithmic form with the provided answer choices to confirm the correct equivalent form is log_3(7) = x.

7:3m

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Struggling with Business Calculus?

Convert the following exponential expression to its equivalent logarithmic form.3x=73^{x}=73x=7

Watch next

Logarithmic Functions practice set

Convert the following exponential expression to its equivalent logarithmic form.
$3^{x}=7$