Question

10 raise to power x= 64 what is the value of 10 raise to power x/2 +1

Answer 1

10^x = 64

take log both sides
log10^x = log64
x = log64 ----(1)

now ,
10^(x/2 + 1) = P ( let )
take log both sides
log10^(x/2 + 1) = logP
(x/2 + 1) = P

put x = log64 from eqn (1)

( log64 )/2 + 1 = logP

log(64)½ +1 = logP

log8 + log10 = logP

logP = log8 × 10 = log80

P = 80
hence, 10^(x/2 +1) = 80 ( answer )


2nd method ///
=================

10^x = 64

take square root both sides
(10^x)½ = (64)½

10^x/2 = 8

multiply both sides with 10

10.10^x/2 = 8× 10

10^(x/2 + 1) =80

Answer 2

 10^x  = 64.

Now (10^x)^1/2+ 1

= (64)^1/2 x 10^1

= 8 x 10 

= 80

^ means power

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