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

Two sides of a triangle are 15 mm and 10 mm. The perimeter of the triangle is 35 mm. What's the third side?
do the results shown in figure 19.5 prove conclusively that histone modifications are causing reduced hnf4a gene transcription? why or why not?
what is 8.525 rounded to the nearest whole number
hearing the word “rabbit” may lead people to spell the spoken word “hair” as “h-a-r-e.” this best illustrates the outcome of a process known as
who was the inventor of the printing press?
What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below.
what is the value of each digit number of 58
frequently asked questions in interview
Which does this tissue work with to carry out transpiration? vascular and parenchyma tissue dermal and vascular tissue ground and dermal tissue parenchyma an
what are the disadvantages of being unicellular