3 years ago

How to find the range of a logromithic function?

1 answer:

5 0

Since the logarithmic function is the inverse of the exponential function, the domain of the logarithmic function is the range of the exponential function and that works the same both ways.

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If ax+3=7-bx what is x expressed in terms of a and b

Mekhanik [1.2K]

All we want to do is get an equation with just x on one side and no x's on the other.
We can use inverse operations to accomplish this.

First, bring bx to the left side. Subtract the 3.
Factor ax+bx to x(a+b). (this is pretty much reversing the distributive property)
Divide by a+b and you are left with just x on the left side as 4/(a+b).

$ax+3=7-bx \\ ax+bx+3=7-bx+bx\\ax+bx+3=7 \\\\ ax+bx+3-3=7-3\\ax+bx=4 \\\\ x(a+b)=4 \\\frac{x(a+b)}{a+b}=\frac{4}{a+b}\\\boxed{x=\frac{4}{a+b}}$

7 0

3 years ago

1) -6 < 3х – 4x<br> Can some one help me

taurus [48]

combine like terms

-6<-1x

divide by negative 1 on both sides

flip the sign when dividing by a negative number

6>x is the answer.

7 0

3 years ago

Read 2 more answers