i had a bunch of easy problems and now i have this and i am stumped :(

Question

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If $6^x = 5,$ find $6^{3x+2}$ .

Guest Dec 3, 2019

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Best Answer

6^x = 5 Raise both sides of this equation to the power of 3

( 6^x )³ = 5³ Simplify the left side using the rule ( x^a )^b = x^ab and simplify the right side.

6^3x = 125 Multiply both sides of the equation by 6²

6^3x · 6² = 125 · 6² Simplify the left side using the rule x^a · x^b = x^a^+b and simplify the right side.

6^3x+2 = 4500

hectictar Dec 3, 2019

hectictar · Answer 1 · 2019-12-03T06:51:45

6^x = 5 Raise both sides of this equation to the power of 3

( 6^x )³ = 5³ Simplify the left side using the rule ( x^a )^b = x^ab and simplify the right side.

6^3x = 125 Multiply both sides of the equation by 6²

6^3x · 6² = 125 · 6² Simplify the left side using the rule x^a · x^b = x^a^+b and simplify the right side.

6^3x+2 = 4500

atlas9 · Answer 2 · 2019-12-03T06:58:44

thank you so much! this helped me a lot :)