- #1
hibachii
- 17
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Homework Statement
Simplify
log21/8
Homework Equations
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The Attempt at a Solution
the answer i got was -3 but it is not right.
-3 is the correct answer.hibachii said:Homework Statement
Simplify
log21/8
Homework Equations
-
The Attempt at a Solution
the answer i got was -3 but it is not right.
A logarithmic equation is an equation that contains a logarithm. A logarithm is the inverse of an exponential function and is used to solve equations with exponential terms.
To simplify a logarithmic equation, you can use the rules of logarithms to rewrite the equation in a simpler form. These rules include the power rule, product rule, quotient rule, and change of base rule.
The power rule states that the logarithm of a number raised to a power is equal to the product of that power and the logarithm of the number. In other words, logb(xn) = nlogb(x).
The product rule states that the logarithm of a product is equal to the sum of the logarithms of the individual factors. In other words, logb(xy) = logb(x) + logb(y).
The quotient rule states that the logarithm of a quotient is equal to the difference of the logarithms of the individual terms. In other words, logb(x/y) = logb(x) - logb(y).