SOLUTION: Evaluate each logarithm. key: () means that number is the base.. thanks
log(9)1/3
log(1/4)16
log(8)1/256
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Question 191346: Evaluate each logarithm. key: () means that number is the base.. thanks
log(9)1/3
log(1/4)16
log(8)1/256
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first two to get you started
# 1
)
... Start with the given expression.
}{\log_{10}(9)})
... Use the change of base formula
}{\log_{10}(3^2)})
... Rewrite each term as an exponential expression with a base of 3
}{2\log_{10}(3)})
... Pull down the exponents.
... Cancel out the common terms.
So =-\frac{1}{2})
)
... Start with the given expression.
}{\log_{10}\left(\frac{1}{4}\right)})
... Use the change of base formula
}{\log_{10}\left(4^{-1}\right)})
... Rewrite each term as an exponential expression with a base of 4
}{-\log_{10}\left(4\right)})
... Pull down the exponents.
... Cancel out the common terms.
... Reduce
So =-2)
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Edit: Here's the last solution:
# 3
)
... Start with the given expression.
}{\log_{10}\left(8\right)})
... Use the change of base formula
}{\log_{10}\left(2^{3}\right)})
... Rewrite each term as an exponential expression with a base of 2
}{3\log_{10}\left(2\right)})
... Pull down the exponents.
... Cancel out the common terms.
So =-\frac{8}{3})
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