Mathematics: 5(2x)=5/16 what would x be in this logarithmic equation?

5(2x)=5/16 what would x be in this logarithmic

Ответ:

alex8366

18.01.2022

Mathematics

The required value of x in the given logarithmic equation is -0.36

Step-by-step explanation:

The given logarithmic equation is :

$5^{2x}=\frac{5}{16}$

We need to find the required value of x in the given logarithmic equation.

$5^{2x}=\frac{5}{16}\\\\\text{Taking log on both the sides}\\\\\log 5^{2x}=\log(\frac{5}{16})\\\\\implies 2x=\frac{\log 5-\log 16}{\log 5}\\\\\implies 2x=\frac{0.699-1.204}{0.699}\\\\\implies 2x = \frac{-0.505}{0.699}\\\\\implies 2x = -0.72\\\\\implies x = -0.36$

Hence, the value of x in the given logarithmic equation is -0.36

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Ответ:

efritzke

16.07.2021

Mathematics

y=9

Step-by-step explanation:

So 2y=19

y=9

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5(2x)=5/16 what would x be in this logarithmic equation?

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