Solving Exponentials with Like Bases

Front

What is the first step in solving exponential equations with like bases?

Back

Get like bases.

Front

Solve for x: 3^(x-20) = 27

Back

x = 23

Front

Solve for x: 9^(8-x) = 27^(x-3)

Back

x = 5

Front

Solve for x: 27^(2x) = 3^(x-7)

Back

x = -7/5

Front

Solve for x: 2^x = 4^(x+1)

Back

x = -2

Front

What is the base of the exponential expression 4^x?

Back

4

Front

What is the relationship between the bases in the equation 2^x = 4^(x+1)?

Back

4 can be expressed as 2^2, making the bases like.

Front

If 5^x = 25, what is x?

Back

x = 2

Front

What is the definition of an exponential equation?

Back

An equation in which a variable appears in the exponent.

Front

How do you express 27 as a power of 3?

Back

27 = 3^3.