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

Below is a digram of a hypothetical bill. Which of the following must be the missing legislative step in the diagram? 1st box: Bill passes both houses of state

Explain the role of nitrifying bacteria and denitrifying bacteria during nitrogen cycle

What is the recommended quantity of fruits that should be eaten daily? A. 1 cup B. 2 cups C. 3 cups D. 4 cups

Why mitochondria is called the powerhouse of cell?

Which of the following gave African American men the right to vote

sin(2x)-tan(x)=cos(2x)tan(x) Please show steps, thank you!

Please help me to answer this question.thx

What is the 20th digit after the decimal point of the sum of the decimal equivalents for the fractions $\frac{1}{7}$ and $\frac{1}{3}$?

which animal ( meerkat, hyena, kangaroo,and hare) organism can produce the highest number of genetically different gametes

Simplify 4 + (−3 − 8)