Question

can anyone solve this?

Answer 1

${2}^{4x} = \sqrt{32} = {32}^{ \frac{1}{2} }$
now 32= 2*2*2*2*2
$= {2}^{5}$
so,
${32}^{ \frac{1}{2} } = {2}^{ \frac{5}{2} }$



on comparing powers (as the bases are now same)

4x = 5/2
x= 5/(2×4)


$x = \frac{5}{8}$

Answer 2

Answer:

2

4x

=

32

=32

2

1

now 32= 2*2*2*2*2

= {2}^{5}=2

5

so,

{32}^{ \frac{1}{2} } = {2}^{ \frac{5}{2} }32

2

1

=2

2

5

on comparing powers (as the bases are now same)

4x = 5/2

x= 5/(2×4)

x = \frac{5}{8}x=

8

5