# Exponential Equations

An exponential equation is an equation in which the unknown variable is in the exponent.

To solve an exponential equation, consider:

1

2

3 The exponent rules.

**a ^{0} = 1 ** ·

**a ^{1} = a **

**a ^{m } · a ^{n } = a^{m+n} **

a^{m } : a ^{n } = a^{m - n}

**(a ^{m})^{n} = a^{m · n } **

a^{n } · b ^{n } = (a · b) ^{n}

**a ^{n } : b ^{n } = (a : b) ^{n }**

#### Solving Exponential Equations:

To solve an unknown that is in the exponent, use logarithms whose base is the base of the power.

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