Liljaevee Liljaevee
  • 04-08-2015
  • Mathematics
contestada

Solve for x and express your answer as a logarithm.


3(5^x) = 48


Simplify your answer as much as possible.

Respuesta :

Julik
Julik Julik
  • 04-08-2015
[tex] \log_{b}(x^y)=y\log_b(x) \\ \log_a(x)= \frac{\log_b(x)}{\log_b(a)} \\ \\ 3(5^x)=48 \\ \frac{3(5^x)}{3} =\frac{48}{3} \\ 5^x=16 \\ 5^x=16\\ x=\log_516 \\ x=\log_5(2^4) \\ x=4\log_52\\ x= \frac{4\log2}{\log5} [/tex]
Answer Link

Otras preguntas

What Is the Function of Alliteration in Literature?
A 3.7 kg object is lifted to a Hight of 3 meters what is the potential energy of this object
Why did Pres. Truman believe that political change would come to the Soviet Union?A. The failures of the Soviet Nuclear programB. The Appeal of freedom and the
A 3.7 kg object is lifted to a Hight of 3 meters what is the potential energy of this object
How do tussock moths obtain energy in cellular respiration?
Zoey made 6 3/4 cups of fruit salad for a picnic. At the picnic, they ate 1/3 of the fruit salad. How much fruit salad did they eat?
Can someone help me please got to be in tomorrow
He believed that while there is serious unemployment in our auto industry, we should not ________ foreign cars. (A) build (B) repair (C) review (D) import (E) c
A rocket is launched from the ground. The function  h(t)= -4.9t^2 +180t   models the height of a rocket launcher from the ground t seconds after it is launched.
Describe William Shakespeare in one word