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Debora [2.8K]
2 years ago
15

Select all of the potential solution(s) of the equation 2log5x = log54.

Mathematics
1 answer:
Vanyuwa [196]2 years ago
6 0

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

\longrightarrow 2log_5(x) = log_5 4

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

\longrightarrow alog\ m = log \ m^a

Applying this to LHS , we have ;

\longrightarrow log_5 x^2 = log_5 4

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

\longrightarrow x^2 = 4

Put square root on both sides,

\longrightarrow x =\sqrt{4}

Simplify ,

\longrightarrow \underline{\underline{ x =\pm 2 }}

This is the required answer.

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