Get expert insights and community support for your questions on IDNLearn.com. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

log_8(5x+4)=3x-4
Write the log equation as an exponential equation. You do not need to solve for X


Sagot :

The equivalent equation of the logarithmic equation is [tex]5x + 4 = 8^{3x - 4}[/tex]

How to rewrite the equation?

The logarithmic equation is given as

Log_8(5x+4)=3x-4

Rewrite properly as:

[tex]\log_8(5x+4)=3x-4[/tex]

Apply the following law of logarithm

[tex]\log_a(b) = x \to a = b^x[/tex]

So, we have:

[tex]5x + 4 = 8^{3x - 4}[/tex]

Hence, the equivalent equation of the logarithmic equation is [tex]5x + 4 = 8^{3x - 4}[/tex]

Read more about logarithms at:

https://brainly.com/question/450777

#SPJ1