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To solve a logarithm, start by identifying the base, which is “b” in the equation, the exponent, which is “y,” and the exponential expression, which is “x.” Then, move the exponential expression to one side of the equation, and apply the exponent to the base by multiplying the base by itself the number of times
A logarithmic equation is an equation that involves the logarithm of an expression containing a variable. To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.
Keep the exponential expression by itself on one side of the equation. Get the logarithms of both sides of the equation. You can use any bases for logs. Solve for the variable. Keep the answer exact or give decimal approximations.
0:12 11:16 Suggested clip How to solve Log Equations Using Properties Of Logarithms YouTubeStart of suggested client of suggested clip How to solve Log Equations Using Properties Of Logarithms
The logarithm of a product property says log2 8a = log2 8 + log2 a, and log2 8 = 3. You can use the similarity between the properties of exponents and logarithms to find the property for the logarithm of a quotient. With exponents, to multiply two numbers with the same base, you add the exponents.
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