HELP can someone please walk me through this?

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What is the exact value of x in the exponential equation 25x − 57 = 43

Guest Dec 6, 2018

Rom · Answer 1 · 2018-12-06T09:28:18

$25^x - 57 = 43\\ 25^x = 100\\ 5^{2x} = 100\\ 2x\log(5) = \log(100) = 2\\ x = \dfrac{1}{\log(5)}$

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ElectricPavlov · Answer 2 · 2018-12-07T12:33:21

Another possibility

25^x = 43 + 57

25^x = 100

x log 25 = 2

x = 2/log25 (same thing)