Question

Please solve this asap.

Answer 1

Answer:

1.25

Step-by-step explanation:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x= [4 ln( √5 √5 √5 √5 )]/[ln( 125 ) ]

Decimal Form:

x = 1.25

Answer 2

Answer:

1.25

$\huge\boxed{\fcolorbox{red}{pink}{Your's Answer}}$

Logarithm of 125 to base 5√5 is

$log( \sqrt[5]{5} ) 125$

$= log( \sqrt[5]{5} ) {5}^{3}$

$= log(5 \frac{3}{2} ) {5}^{3}$

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

$= 2$

Logarithm of .25 to base 4 is

$log(4) 0.25$

$= log( {2}^{2} ) {0.5}^{2}$

$= \frac{1}{2} . log(2) {2}^{ - 2}$

$= \frac{1}{2} ( - 2)$

$= - 1$

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