Example:

Solution:

Since the bases cannot be easily written the same use the method of taking the log of both sides | |

Use the power rule for logarithms | |

Use the distributive law | |

Factor the common x | |

Solve for x by dividing both sides by the factor in the parenthesis and simplify | |

The solution |

When you type this into a calculator be sure to use parenthesis around the numerator and around the denominator. Here is an example of how you might enter it.

(ln (sqrt{2}))/(ln(1.41)+4 ln(sqrt{2}))