Question

log5(625)=y . Find the values.

Answer 1

Hello!
log₅625 = y
⇒log₅625 = 4
This means That log of 625 to the base 5 = 4
Or in other words if 5 is raised to the power of 4 then 625 will be the answer.
Hence , y = 4                                         Ans.
Please mark as the best if u r satisfied!
Thank you! 

Answer 2

The value of y = 4

Given :

log₅625 = y

To find :

The value of y

Formula :

We are aware of the formula on logarithm that

$\sf{1. \: \: \: log( {a}^{n} ) = n log(a) }$

$\sf{2. \: \: log_{a}(a) = 1}$

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

log₅625 = y

Step 2 of 2 :

Find the value of y

$\displaystyle \sf{ log_{5}625 = y }$

$\displaystyle \sf{ \implies y = log_{5}625}$

$\displaystyle \sf{ \implies y = log_{5}(5 \times 5 \times 5 \times 5)}$

$\displaystyle \sf{ \implies y = log_{5}( {5}^{4} )}$

$\displaystyle \sf{ \implies y = 4log_{5}( {5}^{} )}$

$\displaystyle \sf{ \implies y = 4 \times 1}$

$\displaystyle \sf{ \implies y = 4}$

Hence the required value of y = 4

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