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The logarithm of a number x to a given base b is the power y to which the base must be raised to get the number x. This is exactly equivalent to. The logarithmic function is defined for all positive real numbers x. So, the domain of the logarithmic function is the set of all positive real numbers. Any positive real number can be the base of the logarithmic function, except of 1.

For those who is familiar with the notion of a inverse function , the logarithmic function is the inverse function to the exponent function. Lessons under this topic discuss specific properties of logarithms and the logarithmic function.

Examples of using logarithms to solve real world problems are given also. Solvers 1 math and algebra calculators Lessons 38 lessons written by volunteers Ask Free Tutors Submit question to free tutors. Solvers 1 math and algebra calculators.

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It may delete a post erroneously. If your post is missing and you're sure it's not a rule-breaker, send us a note and we'll look into the issue. We ban all bots. I generally understand logarithms, and am able to solve them. However, these two problems have given me trouble. How would I approach both? Now use the laws of logarithms to write the expression as a single logarithm. Move everything to one side.

Then combine everything into one logarithm, using the laws of logarithms to do so. Then solve the resulting equation. For the second one I'm still a bit stuck. And you should have an equation here, with an equals sign and expressions on both sides. What is the equation that you have?

I know I can distribute the three. Should I multiply both sides by the denominator? We would like to get rid of the logarithm. But that isn't what you have on the right side. There's another pair of laws of logarithms that say that logarithms and exponentiation "undo" each other, right?

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The Evaluating Exponential and Logarithmic Functions chapter of this Precalculus Homework Help course helps students complete their exponential and logarithmic functions homework and earn better.

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