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

If a DNA template strand has a sequence of 3' TACAATGTAGCC 5', then the RNA produced from it will be which sequence? A.) 3' AUGUUACAUCGG 5'. B.) 3' TACAATGTAGCC
1+4 = 5. 2+5=12. 3+6=21 8+11==?
in millions of british pounds how much did germany spend in 1890
If someone was born with Jacob’s syndrome (XYY), in which parent and when nondisjunction happened during gamete formation?
the volume of a sphere is 950 cubic inches. Use the formula for the volume of a sphere to find the radius to the nearest tenth of an inch
a speech is considered what type of text
Consider the combustion of octane (C8H18) 2C8H18+25O2-> 16CO2+18H2O How many grams of CO2 are produced when 191.6g of octane are burned?
what stress force on a reverse fault?
what is 7/8ths of 40
governments may create what to discourage companies from producing negative externalities? Answer choices: benefits, revenues, or regulations