bewellplus.gsu.edu
Liljaevee Liljaevee
  • 04-08-2015
  • Mathematics
Answered

Solve for x and express your answer as a logarithm.



3(5^x) = 48



Simplify your answer as much as possible.

Verified Answer :

Julik
Julik Julik
  • 04-08-2015

\(\log_{b}(x^y)=y\log_b(x) \\ \log_a(x)= \frac{\log_b(x)}{\log_b(a)} \\ \\ 3(5^x)=48 \\ \frac{3(5^x)}{3} =\frac{48}{3} \\ 5^x=16 \\ 5^x=16\\ x=\log_516 \\ x=\log_5(2^4) \\ x=4\log_52\\ x= \frac{4\log2}{\log5}\)

Answer Link

Related Questions

what would happen of you released the lid of a jar containing helium gas
A baseball player hits a ball 360 feet to the outfield It takes the ball 4 seconds to travel this distance How many feet does the ball travel in 1 second
Which is a function of an online producer Aanalyzing marketing prospects Bcommunicating with customers Cdeveloping a marketing strategy Dcreating advertisements
what were the political and military structures of rome during the republic
A fisherman separated of his catch into 2 equal bins
Which method is used to measure public opinion in the United States
Photosynthesis and cellular respiration are processes that create for the cell
What were some of solons greatest reforms in athens
The metaphysical poets introduced various changes in the language of love poetry as a reaction to some norms of Elizabethan poetry What were the metaphysical po
what role did the church play in government in medieval europe