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

How many children does kymani marley have?
The meltdown at the nuclear power plant in Chernobyl released radioactive particles and energy that can damage cells. This damage to cells can be prevented by a
"what is george washington warning the public against in this excerpt?"
Base your answer on the accompanying photograph, which shows an outcrop of sedimentary rock layers that have been tilted and slightly metamorphosed. the tilted
There are 24 kids in Hillary’s fourth grade class. 3/4 of the class is male. How many girls are there in Hillary’s class?
Rewrite this sentence by replacing the vague pronoun with a noun.It’s a place where my friends can continually document their lives
Find the value of x for which mlln
What characteristics should you consider when finalizing your title?
Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 3x+4y=16 -4x
if $45 is divided into the ratio 4:5 the smaller part is