y-4-10-2x-Express-x-in-terms-of-y-giving-an-exact-simplified-answer-in-terms-of-log-base-10-

Question Number 193363 by MATHEMATICSAM last updated on 11/Jun/23

y = 4 \times 10^{2 x}

Express x in terms of y, giving an exact

simplified answer in terms of \log base 10 .

Answered by aba last updated on 11/Jun/23

y = 4 \times 10^{2 x} \Rightarrow 10^{2 x} = \frac{y}{4} \Rightarrow x = \frac{1}{2} \log_{10} (\frac{y}{4})

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