Math, asked by tanishadas8145, 13 hours ago

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

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Answers

Answered by Anonymous
8

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 \:  \:  \:  \:  \: }

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