Converting Logarithms to Exponential Form

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. For example, in the equation log_b(a) = c, b^c = a.

Front

Convert the logarithmic equation log_b(50) = a to exponential form.

Back

b^a = 50.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation. If b^c = a, then log_b(a) = c.

Front

Convert the equation 15^r = 26 to logarithmic form.

Back

log_15(26) = r.

Front

What is the base in a logarithmic expression?

Back

The base is the number that is raised to a power in the logarithmic expression. In log_b(a), b is the base.

Front

Convert the equation x^5 = 6 to logarithmic form.

Back

log_x(6) = 5.

Front

What does log_2(32) = 5 mean in exponential form?

Back

2^5 = 32.

Front

What is the definition of 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

Convert log_y(156) = x to exponential form.

Back

y^x = 156.

Front

What is the purpose of converting between logarithmic and exponential forms?

Back

Converting between forms helps to solve equations and understand the relationship between quantities.