Question

$49 \times 7 {}^{x} = 7 {}^{10}$
Solve for x

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Answer 1

Answer:

49×7^x=7^10

=> 7^2×7^x=7^10

=> 7^(2+x)=7^10

=> 2+x=10

=> x=10-2

=> x=8

Answer 2

49 = 7^2
So,
7^2 * 7^x = 7^10

7^2x = 7^10

Base same, Powers same
Therefore solving the powers,

2x = 10
x = 5