Inverses of Log and Exponential

Front

What is the inverse of the equation 2^(x-9)+5=y?

Back

2^(x+9)-5=y

Front

What is the inverse of the equation y=2^(x+9)-5?

Back

y=2^(x+9)-5

Front

Find the inverse of f(x) = 3^(x-1) + 9.

Back

log_3(x-9)+1 = f^(-1)(x)

Front

Rewrite the equation log_4(4) = x in exponential form.

Back

4^x = 4

Front

Rewrite the equation log_x(y) = z in exponential form.

Back

x^z = y

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the relationship between logarithms and exponents?

Back

If b^y = x, then log_b(x) = y.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

How do you convert an exponential equation to logarithmic form?

Back

If a^b = c, then log_a(c) = b.

Front

What is the inverse of the function f(x) = a^x?

Back

f^(-1)(x) = log_a(x).