SOLUTION: Pg 560
62. Express as a single logarithm with a coefficient of 1.
(The "b"s are tiny and below "log")
2 logbx-3(logby+logbz)
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Question 201176This question is from textbook intermediate algebra
: Pg 560
62. Express as a single logarithm with a coefficient of 1.
(The "b"s are tiny and below "log")
2 logbx-3(logby+logbz)
This question is from textbook intermediate algebra
Found 2 solutions by RAY100, jim_thompson5910:
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
2log(b) x -3( log(b) y + log(b) z
.
remember a log c = logc^a
.
log(b)x^2 -log(b)y^3 -log(b)z^3
.
remember log a +log b = log(a*b),,,and log a -log b =log(a/b)
.
log(b) { x^2 / y^3 * z^3 }
.
checking, let b=10,,, a=1, ,, b=2,,,c=3
.
original eqn = -2.33,,,,answer = -2.33,,,,,ok
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Distribute
Rewrite the logs using the identity
Factor out a negative from the last two terms.
Combine the last two logs using the identity
Combine the logs using the identity
So
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