Question

solve x where x =log125/log 25​

Answer 1

Answer:- x=3/2(or) 1.5

Step by step explanation:-

log125/log25

=> log5×5×5/lo5×5

=> log5^3/log5^2

=> 3log5/2log5 (loga^m = mloga)

=> 3/2 (log5/log5 = 1)

Answer 2

The value of x is 1.5.

Step-by-step explanation:

Given : Equation $x=\frac{\log 125}{\log 25}$

To find : Solve for x ?

Solution :

$x=\frac{\log 125}{\log 25}$

Re-write 125 and 25 as power of 5,

$x=\frac{\log 5^3}{\log 5^2}$

Applying logarithmic property, $\log a^x=x\log a$

$x=\frac{3\log 5}{2\log 5}$

Solve it,

$x=\frac{3}{2}$

$x=1.5$

Therefore, the value of x is 1.5.

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