VicentD469781 VicentD469781
  • 03-11-2022
  • Mathematics
contestada

Write logaa=4x in exponential form and find x to evaluate logaa for any a>0, a≠1.

Write logaa4x in exponential form and find x to evaluate logaa for any agt0 a1 class=

Respuesta :

KamarenK374964 KamarenK374964
  • 03-11-2022

Given:

[tex]\log _aa=4x[/tex]

To find the exponential form of the above, all we need to do is to raise the base a to the power of 4x.

That is;

[tex]a^{4x}=a[/tex]

To find the value of x, we need to raise the power of the right - hand side so that we can equate the exponent

That is;

[tex]a^{4x}=a^1[/tex]

4x = 1

Divide both-side by 4

[tex]x=\frac{1}{4}[/tex]

[tex]\text{Log}_aa=4(\frac{1}{4})[/tex][tex]\text{Log}_aa=1[/tex]

Answer Link

Otras preguntas

how is a country's income related to its ecological impact
What is the answer to -6 2/3 - -8 1/5
A towering cloud is slowly spreading across the sky. Which word is used as an adjective?
List 3 crops Greek farmers grew and 3 animals they raised.
Prime factorization of 42
The Pax Romana ended in 180 CE after over one hundred fifty years in existence. The end of this era ushered in a period of
define the term earth science
PLEASE HELP!! Which statements describe Puritan Christians in the colonies? Select the two that apply. A. They never wore colored clothes. B. They enjoyed go
A=6(s+2)2 the 2 outside the parenthesis is an exponent)
Sofía siempre ____ dice la verdad a sus amigos