You can put this solution on YOUR website! logb w^2x/y^3z
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I believe this is meant to be:
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That is the equation I am working with.
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The logarithmic properties we will be using are:
log(a*b) = log(a) + log(b)
log(a/b) = log(a) - log(b)
log(a^c) = c*log(a)
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your equation is broken up into parts that can be converted to log form easy.
I made it look like this:
(w^2) * x * z / (y^3)
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We will take the log to the base b of this expression as is.
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we get:
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First we'll separate out the individual entities I created.
The equation becomes: =
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Next we'll take care of the exponent entries. = becomes: =
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To prove your answer is correct, you give some values to your variables and you solve using the original equation and you solve using the final equation.
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If you get the same answer, then that's a good indication that you did it right.
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I verified they are the same.
I used:
base = 10 (calculator can handle that)
w = 5
x = 3
y = 4
z = 2
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make sure you keep the exponents and roots intact (roots are just another form of exponents) until after you have separated all the multiplies and divides.
that's why I made them separate entities by enclosing them in parentheses.
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