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

USA TEST PREP HELP ILL GIVE BRAINLIEST. If both monetary policy and fiscal policy were used at the same time to contract the economy, which set correctly descri
What would you touch on the Silk Road?
You should not use apostrophes when making a contraction.
In the compound BF3, electrons are exchanged to form a chemical bond between the atoms. What atoms in this compounds are cations? What atoms in this compound ar
Why does the federal government have more power than state government?
What volume would 7.83 X 10^3 moles of Nitrogen gas occupy?
for each scenario described below, right one or more sentences to express the scenario.
tate rents some tables for $362 and some chairs for $3 each for a party. He spends a total of $500. Write an equation.​
The lines graphed below are parallel.The slope of the red line is-4/3. What is the slope of the green line?​
Predict the product of this reaction Al(s) + N2(g)—->