Solve: a) 49 x 7^x= (343)^1/3 – InterviewSolution

1.

Solve: a) 49 x 7^x= (343)^1/3

Answer»

x = 1/3

Step-by-step explanation:

49 × 7^x = 343^1 /3

49 × 7^x = ∛343

49 × 7^x = 7

343ˣ = 7

7³^x = 7¹

CANCEL out bases and equate powers

3ₓ = 1

DIVIDE both SIDES by 3

x = 1/3

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