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Change the exponential statement to an equivalent statement involving a logarithm. \( 9.4=2^{\mathrm{x}} \) The equivalent logarithmic statement is \( \log _{2}(9.4) \). (Type an equation. Use integers or decimals for any numbers in the equation.)

Ask by Carlson Davey. in the United States
Feb 21,2025

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\( x = \log_{2}(9.4) \)

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The equivalent logarithmic statement is \( x = \log_{2}(9.4) \). To solve for \( x \) in the original equation, you can express it as \( x = \frac{\log(9.4)}{\log(2)} \) if you're using a calculator that doesn't have a base 2 logarithm. This is handy for practical calculations!

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