6. Exponential & Logarithmic Functions

Introduction to Logarithms

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Multiple Choice

Change 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

Identify the base of the exponential expression. In the expression $3^x = 7$, the base is 3.

Recognize the exponent in the expression. Here, the exponent is $x$.

Understand that the exponential expression $b^y = x$ can be rewritten in logarithmic form as $\log_b(x) = y$.

Apply this understanding to the given expression $3^x = 7$. Rewrite it in logarithmic form as $\log_3(7) = x$.

Verify that the logarithmic form $\log_3(7) = x$ correctly represents the original exponential relationship.

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