stuart40 stuart40
  • 25-11-2021
  • Mathematics
contestada

Hello how do you solve 5^-x = 6?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 25-11-2021

Answer:

x = -log 6/log 5

Step-by-step explanation:

When the variable is in te exponent, logarithms help solve the equation very often.

5^-x = 6

Take the log of both sides.

log (5^-x) = log 6

Use the law of log of a power.

-x log 5 = log 6

-x = log 6/log 5

x = -log 6/log 5

Answer Link

Otras preguntas

Jim, Carla and Tomy are members of the same family.  Carla is 5 years older than Jim.  Tomy is 6 years older than Carla.  The sum of their 3 ages is 31 years. H
Collect information about working of geyser and prepare a report
Relationship between Mini and Kabuliwala
what are the rational numbers of -12,0,35,4.85,√12,√36,19/6,-10/11,1.4949949994
Round 1.069 to the nearest tenth
do you know 10(55-1000)/90+2=?
Georges Cuvier's discovery of fossils of Irish elk and giant ground sloth:
Factor by grouping:4-12r+9r^2i know the answer is (2-3r)^2Can anyone explain to me how it is?
A soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second. Its height above ground in feet is given by: s(t)=-16t^2 +32
if the minimum velocity of a projectile is double the minimum velocity,the angle of projection is