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 is on Exponential Equations It has to do something with abx This is confusing be class=

Respuesta :

Answer: x = 3

Step-by-step explanation:

[tex](8)\bigg(\dfrac{2}{3}\bigg)^x=(4)\bigg(\dfrac{16}{27}\bigg)\\\\\\\bigg(\dfrac{2}{3}\bigg)^x=\bigg(\dfrac{4}{8}\bigg)\bigg(\dfrac{16}{27}\bigg)\\\\\\\bigg(\dfrac{2}{3}\bigg)^x=\bigg(\dfrac{1}{2}\bigg)\bigg(\dfrac{16}{27}\bigg)\\\\\\\bigg(\dfrac{2}{3}\bigg)^x=\bigg(\dfrac{8}{27}\bigg)\\\\\\\bigg(\dfrac{2}{3}\bigg)^x=\bigg(\dfrac{2^3}{3^3}\bigg)\\\\\\\bigg(\dfrac{2}{3}\bigg)^x=\bigg(\dfrac{2}{3}\bigg)^3\\\\\\x=3[/tex]

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