6. Exponential & Logarithmic Functions

Introduction to Logarithms

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Multiple Choice

Change the following logarithmic expression to its equivalent exponential form.
$\log_4x=5$

$4^{x}=5$

$x^4=5$

$4^5=x$

$5^4=x$

Verified step by step guidance

Start with the given logarithmic expression: $ \log_4 x = 5 $.

Recall the definition of a logarithm: $ \log_b a = c $ means $ b^c = a $.

Apply this definition to the expression $ \log_4 x = 5 $, which translates to $ 4^5 = x $.

This means that the exponential form of the logarithmic expression is $ x = 4^5 $.

Thus, the equivalent exponential form of the given logarithmic expression is $ x = 4^5 $.

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Change the following logarithmic expression to its equivalent exponential form.log4x=5\log_4x=5log4x=5