Multiple Choice
Rewrite the exponential equation as a logarithmic equation.
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13. Inverse, Exponential, & Logarithmic Functions
Introduction to Logarithmic Functions
Multiple Choice
Rewrite the logarithmic equation as an exponential equation.
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Verified step by step guidance1
Recall the definition of a logarithm: if \(\log_b x = y\), then the equivalent exponential form is \(b^y = x\).
Identify the base of the logarithm, which is 4 in this problem, and the value on the right side of the equation, which is 1.5.
Using the definition, rewrite \(\log_4 x = 1.5\) as an exponential equation by raising the base 4 to the power of 1.5.
This gives the equation \$4^{1.5} = x\(, where the base 4 is raised to the exponent 1.5, and the result equals \)x$.
This is the exponential form equivalent to the original logarithmic equation.
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