Math, asked by nishakhatoon8981, 8 months ago


Find the value of 16 log4 5​

Answers

Answered by panda0413
4

Answer:

25

Step-by-step explanation:

there u go . hope it helped

Attachments:
Answered by pulakmath007
3

\displaystyle \sf{ {16}^{ log_{4} 5 } = 25 }

Given :

The expression \displaystyle \sf{ {16}^{ log_{4} 5 } }

To find :

To simplify the expression

Formula :

\displaystyle \sf{ {a}^{ log_{a} x } = x}

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

\displaystyle \sf{ {16}^{ log_{4} 5 } }

Step 2 of 2 :

Simplify the given expression

\displaystyle \sf{ {16}^{ log_{4} 5 } }

\displaystyle \sf{ = {( {4}^{2} )}^{ log_{4} 5 } }

\displaystyle \sf{ = {4}^{ 2log_{4} 5 } }

\displaystyle \sf{ = {4}^{ log_{4} {5}^{2} } }

\displaystyle \sf{ = {4}^{ log_{4} 25 } }

\displaystyle \sf{ =25 \: \: (\: \because \: \displaystyle \sf{ {a}^{ log_{a} x } = x } \: \: )}

Correction in the question :

Correct question is : Value of 16 raise to the power log 5 having base 4

Link : https://brainly.in/question/17449426

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