# Inverse of log function

Find the inverse of
f(x) = log(2+x) - 4
the base is "a"

Call f(x) y
y = loga(2+x) -4
y+4 = loga(2+x)
a^(y+4) = 2 + x
x = a^(y+4) - 2

drwls, you have merely solved the equation for x.
The question was to find the "inverse", so the actual answer should be

y = a^(x+4) - 2

1. 👍
2. 👎
3. 👁

## Similar Questions

1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!

2. ### math

If log (base b) 3 = 1.099 and log (base b) 6 = 1.792, find log (base b) 18 = ???

3. ### math

Given that 2 log base2 (x+15) - log base2 x = 6 1.Show that x^2 -34x +225 = 0 2. Hence or otherwise solve the equation 2 log base 2 (x+15) - log base 2 x =6

4. ### math

mathematically Evaluate without using tables 2 log base 10 raised 2 power 5 + log base 10 36 - log base10 9 that is, 2log10 5 +log 10 36 - log 10 9

1. ### interesting log problem

log base 2n 1944 = log base n (486* (2)^1/2) find n^6

2. ### Logarithms

CONDENSE INTO THE LOG OF A SINGLE QUANTITY: (1) Base 7 2/3 log( z - 2 ) (2) 2 ln8 + 5 ln( z - 4 ) (3) Base 4 1/2 [ log( x + 1 ) + 2 log( x - 1 ) ] + 6 logx

3. ### Math

1. Solve: log (y-1) = -log(y-9) 2. Find the inverse of the logarithmic function f defined by f(y)= 2log5 (2y-8)+3.

4. ### math

Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25)

1. ### math

Q1:solve log(5)x-log(25)(x+10) = 0.5 Q2:If 2log(a)x=1+log(a) (7x-10a) ,find x in terms of a. Q3:Find x for which 27x3^lgx = 9^1+lg(x-20) Q4:Find x in terms of a and c ,given that log(√ a)(1/x)+log(a)x +log(a^2) x +log (a^4)x=c

2. ### College Alegebra

I know I have to take the log of both sides, but I don't seem to get how they work out! Can anyone explain how to do 3e^(1+x) = 2 AND 10^(2x+3) = 280 If you walk me through one I should be able to figure out the other.

3. ### Algebra-Please check

y= 6x is written as: Choices y = log(6)x x = log(6)y I chose y = log(6)x, correct?I did the inverse so x = 6^x isolate y so it becomes y = log(6)x

4. ### precalc

Suppose that u=log(2) and v=log(5). Find possible formulas for the following expressions in terms of u and/or v. Your answers should NOT involve any log's. a) log(0.4)= b) log(0.08)= c) log(2500)=