2 years ago

(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.

Mathematics

1 answer:

Vaselesa [24]2 years ago

8 0

Answer:

x=-2

Step-by-step 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

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(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.