Question

if 2^5x÷2^x= 5 root 32. Then find the value of x​

Answer 1

Answer:

2^5x÷2^x=2^5×1/2

5x-x=5/2

4x=5/2

x=5/2×4

x=5/8

Answer 2

Question:

• if $\large\rm\frac{2^{5x}}{ {2}^{x} } = \sqrt[5]{32}$.Then find the value of x

Answer:

$\dashrightarrow\large\rm\frac{2^{5x}}{ {2}^{x} } = \sqrt[5]{32}$

$\dashrightarrow\large\rm\frac{2^{5x}}{ {2}^{x} } = {(2 ^{ \frac{5}{5} } )}$

Now,By using the exponential formula

$\dashrightarrow \large \rm{ {2}^{5x - x} } = {2}^{1}$

$\dashrightarrow \large \rm{ {2}^{4x} } = {2}^{1}$

$\dashrightarrow \large \rm{4x = 1}$

$\purple \dashrightarrow { \boxed {\red{\large \rm \red{x = \frac{1}{4} }}}}$

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