Question

Find the value of x if 7^3 × 7^x = 7^-9


please give correct answer!​

Answer 1

Answer:

-12 ans .

Step-by-step explanation:

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Answer 2

$\huge\red{answer : - }$

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step : 1

Since the product of powers with the same base is give,

we use the product law:

$a^{m} \times a ^{n} = a ^{m + n}$

Step : 2

${7}^{3} \times {7}^{x} = {7}^{ - 9} \\ = {7}^{3} + ^{x} = {7}^{ - 9}$

Hence, 3 + x = -9

x = -9 - 3

= x = -12

Now, answer time

On substituting x = -12 in the equation, we get 7^3 × 7^-12 = 7^-9

LHS =

${7}^{3} \times {7}^{ - 12} \\ \\ = {7}^{3 - 12} \\ \\ = {7}^{ - 9}$

RHS = 7^-9

LHS = RHS

: x = -12 satisfied the equation.