7^x=49^217

Question

do you solve by factoring help

Answer 1

7^x = 49²¹⁷

 

Note that 49 = 7²:

 

7^x = (7²)²¹⁷ = 7⁴³⁴        [ property of exponents: (z^a)^b = z^ab ]

 

x = 434

Answer 2

Hi Mc,

Since 49 = 7²,

7^x = (7²)²¹⁷

7^x = 7⁴³⁴

x = 434