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

Which polynomial expressions are in standard form? x2 - x - 72 (x + 3)(x - 7) -8x + 56 05 5x(2x)
What does the prefix trans-indicate? A. There are at least two double bonds in the molecule. B. The carbons on either side of the double bond are pointed in opp
The area of a circle is 4π cm². What is the circumference, in centimeters? Express your answer in terms of \piπ.
Find the equation of the line that is parallel to f(x) and goes through point (-1,7).
Determine the intervals on which the function is increasing, decreasing, and constant. A. Increasing x>0; Decreasing x<0 B. Decreasing on all real number
Twice the difference of a number and 9 equals 5.
Discuss the action of sodium with a) Ammonia b) non-metals
Match the healthcare professionals to their roles.
Write major characteristics of folk culture.​
Can someone help me with this