Question 170044
1.find the domain of the function f(x) = ln (8x-24)
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We can't have a negative value, (or 0) therefore: Domain: |x| x > 3
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2. simplify log (1/10)
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We can use the reciprocal of (1/10):  
{{{log(10^-1)}}}
-1*log(10)
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we know the log of 10 = 1
-1*1=-1
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3. write as a single logarithm and simplify (no decimal approximations)
:
2 log 6 + log x - log 2
{{{log(6^2) + log(x) - log(2)}}}
{{{log(36) + log(x) - log(2)}}}
{{{log((36x)/2)}}}
log(18x)
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4. expand and simplify (no approximations: ln(ex)
:
ln(e) + ln(x)
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We know the ln of e = 1, therefore:
ln(x) + 1