Delete Equation Log For Free

We can use the additive rule of exponents since both bases are the same. According to the rule of logs, a log of a base with similar bases will cancel, and will leave only the power.

The key in the last step is raising both sides to the power of 4/3rds (so (L3/4)4/3 = L3/44/3 = L1 = L). That is how you cancel out an exponent.

How to simplify a base raised to a log with the same base- YouTube YouTube Start of suggested clip End of suggested clip You can simplify to rewrite this in as just what you're evaluating. For when you have the log ofMoreYou can simplify to rewrite this in as just what you're evaluating. For when you have the log of your base. Being raised to that power by that same base uh your exponent.

If you have the same operation on both sides of an equation, they cancel each other out! Keep in mind that this only works when the logarithms on both sides of the equation have the same base. If you had a logarithm with base 3 on one side and a logarithm with base 7 on the other side, they won't cancel out.

Eliminate Exponents with Logarithms - YouTube YouTube Start of suggested clip End of suggested clip We can multiply both sides by log. Three we can do this because of a property of logarithms. The logMoreWe can multiply both sides by log. Three we can do this because of a property of logarithms. The log base 3 and the base 3 of the exponential cancel each other out because they are inverses.

Basically, what we are saying here is that whenever you have a 2nd exponent inside the log - remember the log itself is an exponent - then you can pull it out front and multiply it times the log.

According to log properties, the coefficient in front of the natural log can be rewritten as the exponent raised by the quantity inside the log. Notice that natural log has a base of . This means that raising the log by base will eliminate both the and the natural log.