(2/3)^x-1=27/8, find x. Please add a step-by-step explanation. ( (2)/(3) ) {x - 1 = (27)/(8) }^(?) ​

Question

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


`( (2)/(3) ) {x - 1 = (27)/(8) }^(?)`
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Answer 1

so basically after doing all the algebra, you will have to use the log function to solve. rearranging things and you will get the log expression that I obtained, then solve it using the change of base formula.