log 50

4^{log_{2}2x}=36

1 Answers

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2^log₂4xÂ² = 36

As the base of the log and the number are the same(2), you can apply the absorption property of logarithms, which states that y^log_yx = x.

=> 4xÂ² = 36
=> 4(xÂ² - 9) = 0
=> x = Â±3

In the original equation, x is inside a log function. Hence x > 0. So x â‰ -3.

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