Math, asked by devparmar2402, 4 months ago

lf loga 32 = 5; then a :?​

Answers

Answered by ssrndl22
0

Answer:

a= 2

Step-by-step explanation:

Given,

log 32 base a = 5

= let's take a =2

= log 32 base 2

=log 2^5 base 2^1

=5/1 log 2 base 2

= 5 (1)

=5

a = 2

Answered by Anonymous
2

Answer:

if  \: log \: x \: (32) = 5 \: then \: x {}^{5}  = x \: log \: x \: (32) = 32.

so \:  \:  \:  x  =  \sqrt[5]{32 \:  =  \sqrt[5]{25 = 2} }

Step-by-step explanation:

Alternatively, use the change of base formula:

5 \: log \: x(32) = in \ \times \frac{in \: (32)}{in \: (x)}

in(x)  \frac{in \: (32)}{5 }  = in \:  \sqrt[5]{32}  = in \: ( \sqrt[5]{2 {}^{2} }

(answer) \: in \: (2)

i hope answer is helpful to us

Similar questions