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Asked Nov 11, 2019
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Example 9: Solve the following for the exact value of x
a) log,xlog, 27+2 log, 2-log, 3
b) logx+log x3) log 10
c) 32-17 5
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Example 9: Solve the following for the exact value of x a) log,xlog, 27+2 log, 2-log, 3 b) logx+log x3) log 10 c) 32-17 5

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Expert Answer

Step 1

Refer to the question we need to find the value of x of the provided logarithm equations as,

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(a).. .log, (x)log, (27) + 2 log, (2)-log, (3) (b)... og x +log (x-3) - log 10 (c)...3-7=5

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Step 2

Now use the following logarithmic formula to get the value of x.

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log rule 1: alog, (b) = log, (b°) log rule 2:log, (a)+log, (b)= log. (ab) log rule 3:log. (a)-log, (b) log| b

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Step 3

Now solve part ...

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=log, (27)+2 log, (2)-log, ( |(a)... log, (x) (3) Apply log rule : a log. (b) = log, (b log, (x) log, 273log, (22log, (3) Then Apply log rule:log, (a)+log. (b) = log, (ab) log, (x)log, 22 273-log, (3) = log, 4(3)-log, (3) =log, (36)-log, (3)

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Math

Algebra