How to solve x using logarithms

asked May 27, 2020 202k views

1 vote

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4 votes

Explanation:

(1)/(2) log(x) + log(4) = 2

then

$log( {x}^{ (1)/(2) } ) + log(4) = 2 \\ log(4 √(x) ) = 2 \\ 4 √(x) = {10}^(2) = 100 \\ √(x) = 25 \\ x = {25}^(2) = 625$

I don't know if your Log is natural logarithm then

$4 √(x) = {e}^(2) \\ √(x) = (e ^(2) )/(4) \\ x = \frac{ {e}^(4) }{16}$

Azaz Ul Haq answered May 30, 2020

5.9k points

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