Solve the equation. \log 4x-\log(12+x)=\log 2

babeeb0oL 2021-10-02 Answered
Solve the equation.
log4xlog(12+x)=log2
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Derrick
Answered 2021-10-03 Author has 94 answers

Now using the formula logablogac=logbc, simplify
log4xlog(12+x)=log2 and solve for x.
log4xlog(12+x)=log2
log4x12+x=log2
4x12+x=2
4x=2(12+x)
=24+2x
4x2x=24
2x=24
x=12

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-10-18
Find a least squares solution of Ax=b by constructing and solving the normal equations.
A=[311114],b[111]
x=?
asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2021-12-11
Subtract the polynomials:
(x3x22x)(11x49x6)
asked 2022-07-31
A company earns a weekly profit of p dollars by selling x items according to the function p = x 2 + 125 x 2200. Find the number of items the company must sell each week to obtain the largest possible profit Then find the largest possible profit.
asked 2021-12-13
Factor each polynomial.
m2+10m+25n4
asked 2021-06-27
Identify each of the following functions as exponential growth or decay. Then give the rate of growth or decay as a percent.
y=a(12)t
asked 2020-10-21
Write the augmented matrix of the following system of equations.
{8x+4y+2=04x8y6=0