Question

write the value of 5 to the power of 2+log 7 to the base 5 in terms of whole numbers

Answer 1

Answer:

hope you got the answer

mark it as brainlist

Answer 2

Value of the given expression is 175.

Step-by-step explanation:

The given expression is $5^{(2+log_{5}7)}$

We have to evaluate the given expression

$5^{(2+log_{5}7)}=5^{2}\times 5^{log_{5}7}$

= $25\times 5^{log_{5}7$

We will evaluate the value of first

Let x = $5^{log_{5}7=5^{\frac{log7}{log5}}$

log(x) = $log[(5)^{\frac{log7}{log5}}]$

log(x) = $\frac{log7}{log5}\times log5$

log(x) = log(7)

x = 7

Now we put this value in the original expression

$25\times 5^{log_{5}7$ = 25×7

= 175

Therefore, value of the given expression is 175.

Learn more about the logarithm from

https://brainly.in/question/1164782