QuestionIf $4^{x}=40$ , find the value of $x$ : a) $10$ b) $\sqrt[40]{4}$ c) $\sqrt[4]{40}$ d) $\log_{4} 40$ e) $\log_{40} 4$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $4^{x}=40$ . We need to find the value of $x$ that makes the equation true

STEP 2

We can rewrite the equation $4^{x}=40$ in logarithmic form. The base of the logarithm will be4, the argument will be40, and the result will be $x$ .
$x = \log_{4}{40}$

STEP 3

So, the correct answer is $x=\log{}40$ .

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