Question

If log5 power x = log 125 power 4 then find x =

Answer 1

Answer:

12

Step-by-step explanation:

(log5)x=(5)3×4

x=12

Answer 2

$Given \:log 5^{x} = log 125^{4}$

$\implies log 5^{x} = log (5^{3})^{4}$

$\implies log 5^{x} = log 5^{3\times 4}$

$\implies log 5^{x} = log 5^{12}$

$\implies 5^{x} = 5^{12}$

$\implies x = 12$

$\boxed { \pink { Since, If /:a^{m} = a^{n} \implies m = n }}$

Therefore.,

$\red{ Value \:of \:x } \green { = 12}$

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