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question solve for ( x ), rounding to the nearest hundredth. ( 10^x = 7…

Question

question
solve for ( x ), rounding to the nearest hundredth.
( 10^x = 70 )

Explanation:

Step1: Apply common log to both sides

$\log_{10}(10^x) = \log_{10}(70)$

Step2: Simplify left side using log rule

$x = \log_{10}(70)$

Step3: Calculate and round to hundredth

$x \approx 1.85$

Answer:

$x \approx 1.85$