Question

Find the value of x
ans fast Pls my bro/siso​

Answer 1

Answer:

-4

Step-by-step explanation:

We know that,

$\large \sf \purple{ {a}^{m} \times {a}^{n} = {a}^{m + n} } \\\large \sf \purple{ If \: { \red{a}}^{ \pink{m}} = \red{a}^{ \pink{n}} , \: \: \: \pink{m \: = n}}$

${( \frac{3}{4} )}^{ - 5} \times {( \frac{3}{4} )}^{ - 6} = {( \frac{3}{4} )}^{ 2x - 3} \\ \Rightarrow {( \frac{3}{4} )}^{ - 5 + ( - 6)} = {( \frac{3}{4} )}^{ 2x - 3} \\\Rightarrow {( \frac{3}{4} )}^{ - 11} = {( \frac{3}{4} )}^{ 2x - 3} \\ \Rightarrow - 11 = 2x - 3 \\ \Rightarrow2x = 3 - 11 \\ \Rightarrow2x = - 8 \\\Rightarrow x = \frac{ - 8}{2} \\ \therefore \: \pink{ x = - 4 \: \: \: \: \: }$