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Solve for $x$ in.$$2^{5 x}=8^{3 x+1}$$

$$-3 / 4$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 2

Exponential Functions

Campbell University

Harvey Mudd College

Baylor University

Lectures

01:18

Solve for $x$ algebraicall…

04:04

Solve the equations.$$…

Solve the equation.$x^…

02:12

01:08

0:00

Solve. $(8 x+5)^{\frac…

01:39

Solve each equation.$$…

01:17

00:33

Solve for $x$.$$5^…

00:55

01:42

01:29

Solve.

$$x^{2}…

01:02

Solve.$$x^{5}+x^{2} \g…

So if we want to try to solve this equation, the first thing we want to try to do is see if we can get a common based on each side. Now we can rewrite eight to be too cute, and then we can go ahead and multiply the powers together. So be too ready to the five X and then it would be two times or two races three times three X plus one. Now, since we have a common base, um, we can essentially just set the powers equal to each other. So be five x is equal to three times three x plus one, and now we just go out and solve this like we normally would. So I'll go ahead. Distributed 3 75 x as he would have nine x plus three. Um, also track the X over so it would be negative for X is equal to three. Divide the negative for over and we get X is equal to three over negative four. So this should be our solution

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