bailey60590
bailey60590 bailey60590
  • 21-12-2020
  • Mathematics
contestada

For what value of x does
[tex]4^{x}=(\frac{1}{8})^{x + 5} [/tex]
-15
-3
3
15​

Respuesta :

LammettHash
LammettHash LammettHash
  • 01-01-2021

Write both sides as powers of 2:

[tex]4^x=(2^2)^x=2^{2x}[/tex]

[tex]\left(\dfrac18\right)^{x+5}=8^{-x-5}=(2^3)^{-x-5}=2^{-3x-15}[/tex]

Since both powers of 2 are equal, the exponents are equal:

2x = -3x - 15

5x = -15

x = -3

Answer Link

Otras preguntas

Can someone help me with this please
How can the Binomial Theorem be useful in helping to prove and use polynomial identities
identify the dependent clause: When ice is on the road, drive more carefully.​
Elite Company had originally expected to earn operating income of $140,000 in the coming year. Elite's degree of operating leverage is 2.6. Recently, Elite revi
What phase does homologous chromosomes are separated
What is the difference between sensory, motor and relay neurons?​
06.02 Plant Cells and Tissues Summary submission
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Tim​ Urban, owner/manager of​ Urban's Motor Court in Key​ West, is considering outsourcing the daily room cleanup for his motel to​ Duffy's Maid Service. Tim re
directions for constructing the in-center of a triangle?​