Question

49 multiplied 7 to the power x is equal to 343 to the power 1/3

Answer 1

yes
x=1
49*7=343
yes to the power 1/3

Answer 2

49×7^x=343^⅓

49×7^x=49^⅓×7^⅓

49-49^⅓=7^⅓-7^x

49^1-⅓=7^⅓-x

7.7^⅔=7^⅓-x

(If bases are equal powers must be equal)

1+⅔=⅓-x

5/3=1-3x/3

1-3x=5

3x=-4

x=-4/3