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I need help on HOW to solve these types of questions. Not the answer. The section is on Exponential Equations. It has to do something with a(b)^x

This is confusing because on number 12 it is not same format for number 14. Idk it looks weird because there is parentheses around a lot of numbers. Please see the attached file.

Only number 14, PLEASE Briefly explain step by step to me for everything you do. Thanks.

I need help on HOW to solve these types of questions. Not the answer. The section-example-1
User Rphlo
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1 Answer

7 votes

Answer: x = 3

Explanation:


(8)\bigg((2)/(3)\bigg)^x=(4)\bigg((16)/(27)\bigg)\\\\\\\bigg((2)/(3)\bigg)^x=\bigg((4)/(8)\bigg)\bigg((16)/(27)\bigg)\\\\\\\bigg((2)/(3)\bigg)^x=\bigg((1)/(2)\bigg)\bigg((16)/(27)\bigg)\\\\\\\bigg((2)/(3)\bigg)^x=\bigg((8)/(27)\bigg)\\\\\\\bigg((2)/(3)\bigg)^x=\bigg((2^3)/(3^3)\bigg)\\\\\\\bigg((2)/(3)\bigg)^x=\bigg((2)/(3)\bigg)^3\\\\\\x=3

User Aurelien Souchet
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