Question

The value of p in logp25p=2 is
a. 23
b. 24
c. 25
d. 26​

Answer 1

Answer:

The value of p in logp25p=2 is

a. 23

Answer 2

The value of p = 25

Given :

$\displaystyle \sf{ log_{p}(25p) = 2 }$

To find :

The value of p is

a. 23

b. 24

c. 25

d. 26

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ log_{p}(25p) = 2 }$

Step 2 of 2 :

Find the value of p

$\displaystyle \sf{ log_{p}(25p) = 2 }$

$\displaystyle \sf{ \implies log_{p}(25) +log_{p}(p) = 2 }$

$\displaystyle \sf{ \implies log_{p}(25) + 1 = 2 }$

$\displaystyle \sf{ \implies log_{p}(25) = 2 - 1 }$

$\displaystyle \sf{ \implies log_{p}(25) = 1 }$

$\displaystyle \sf{ \implies {p}^{1} = 25}$

$\displaystyle \sf{ \implies {p}^{} = 25}$

Hence the correct option is c. 25