Multiple Choice
Rewrite the logarithmic equation as an exponential equation.
11. Inverse, Exponential, & Logarithmic Functions
Introduction to Logarithmic Functions
Multiple Choice
Evaluate the given logarithmic expression.
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Verified step by step guidance1
Recognize that the expression \( \log_2 128 \) asks for the exponent to which 2 must be raised to get 128.
Express 128 as a power of 2. Since 128 is a power of 2, write it in the form \( 2^x \) where \( x \) is an integer.
Recall or calculate the value of \( x \) such that \( 2^x = 128 \).
Use the property of logarithms that \( \log_b (b^x) = x \) to simplify \( \log_2 (2^x) \) to \( x \).
Conclude that \( \log_2 128 = x \), where \( x \) is the exponent found in step 3.
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