robert7248
robert7248 robert7248
  • 01-04-2019
  • Mathematics
contestada

Solve the linear equation

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

Respuesta :

jamuuj jamuuj
  • 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

What is 9^3 multiplied by 11^4
what is the identity of element y
Which of the following items is not a temporary difference? A. Vacation pay accrued for tax purposes in a prior period is deducted in the current periodB. Tax
For what reason does Frankenstein fear walking alone in Scotland ?
whihc question is not a good survey question? dont you agree that the financial crisis is essentially over? on average how many hours do you sleep per day?
the value of cosec35°- sec55° will be​
fourteen of the 100 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is​ defecti
given T(-5,8,3) and M(-2,-1,-6) find the ordered triple that represents TM. Then find the magnitude of TM.
Jade decided to rent movies for a movie marathon over the weekend. the function g(x) represents the amount of money spent in dollars where x is the number of mo
Which of the following statements is not true? Multiple Choice Josquin's compositions strongly influenced other composers, and were praised enthusiastically by