robert7248 robert7248

01-04-2019
Mathematics

contestada

Solve the linear equation

[tex]4^{x+7} = 8^{2x-3}[/tex]

Respuesta :

01-04-2019

Answer:

x = 5.75

Step-by-step explanation:

4^(x+7) = 8^(2x-3)

But; 4^(x+7) = 2^2(x+7)

8^(2x-3) = 2^3(2x-3)

2^2(x+7) = 2^3(2x-3)

Since the bases are the same;

2(x+7) = 3(2x-3)

2x + 14 = 6x -9

14 + 9 = 6x - 2x

23 = 4x

x = 23/4

x = 5.75

Answer Link

Otras preguntas

Solve the right triangle. Round to the nearest degree and nearest tenth of a unit.

2x-3y=14 x+3y=-11 Elimination Please help

Pls help! Solve the equation by using quadratic formula. -2x’2 + 4x = 5

Henry David Thoreau was a writer and philosopher. He was a major figure in the transcendentalist movement. Transcendentalists feel a deep connection to nature.

The first black general in the u. S. Military served in what branch?.

Astronauts in a space shuttle can float while orbiting earth. Why are these astronauts weightless?.

is America truly free and equitable for all?

if i take an edible will it show in my blood test that’s 50+ days away

How much interest will Ms. Hernandez earn if she invests $3200 at a rate of 4% for 5 years? show your work

A waitress has 5 boxes with 9 glasses in each. She places 8 glasses on a table. How many glasses are left in the boxes?