446,881 views
11 votes
11 votes
(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.​

(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.​-example-1
User Kgm
by
3.3k points

1 Answer

14 votes
14 votes

Answer:

x=-2

Explanation:

(2/3)^x-1=27/8

Rewriting the right hand side

(2/3)^x-1=(3/2)^3

We know that a^-b = 1/a^b Hint: { 1/(3/2) = 2/3}

(2/3)^x-1=(2/3) ^-3

The bases are the same, so the exponents are the same

x-1 = -3

x -1+1 = -3+1

x = -2

User Jbakirov
by
3.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.