Question

Help me!!!!!!!!!!!!!!!!!!
please someone find the value of 'x'
and please send the full solution
please!!​

Answer 1

Answer:

5

Step-by-step explanation:

$\frac{125}{8} \times (\frac{125}{8})^{x} = { \frac{5}{2} }^{18}$

$(\frac{5}{2})^{3} \times ((\frac{5}{2})^{3} )^{x} = \frac{5}{2} ^{18}$

$(\frac{5}{2})^{3 + 3x } = (\frac{5}{2})^{18}$

When bases are equal, powers are also said to be equal

→ 3 + 3x = 18

→ 1 + x = 6

→ x = 5

Hope it helps...

Answer 2

Answer:

$(\frac{125}{8} ) \times {( \frac{125}{8} )}^{x} = {( \frac{5}{2} )}^{18} \\ \\ \\(\frac{125}{8} ) \times {( \frac{125}{8} )}^{x} = {( {( \frac{5}{2} )}^{3} )}^{6} \\ \\ \\ (\frac{125}{8} ) \times {( \frac{125}{8} )}^{x} = {( \frac{125}{8} )}^{6} \\ \\ \\ {( \frac{125}{8} )}^{(1 + x)} = {( \frac{125}{8}) }^{6} \\ \\ 1 + x = 6 \\ \\ \\ \implies \: x = 6 - 1 \\ \\ { \huge{ \red{ \boxed{\therefore{ x = 5}}}}}$