HELP ASAP

2 answers:

7 0

This all has to do with place value...

0.37....the last number (7) is in the hundredths place....so remove the decimal and put it over 100......the fraction would be 37/100...and the denominator is 100

and IF it would have been 0.037....the 7 would be in the thousandths place and u would put it over 1000.....so it would be 37/1000.
Understand ?

zhenek [66]3 years ago

4 0

The answer would be 100 because if you say it as a decimal you hear hundreths

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Solve log base 6 (x-6) - log base 6 (x + 4) = 2

Ray Of Light [21]

Answer:

no solutions

Step-by-step explanation:

Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

$log_{b}(x) - log_{b}(y) = log_{b}(\frac{x}{y} )$

Therefore, the equation can be written as:

$log_{6}(\frac{x-6}{x+4} )=2$

By using the definition of a logarithm we can say that:

$\frac{x-6}{x+4} = 6^{2}\\\frac{x-6}{x+4} = 36\\x -6 = 36x+144\\35x = -150\\x =-\frac{30}{7}$

When plugging this solution in, you find that the term $log_{6}(x-6)$ has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so $-\frac{30}{7}$ is not a valid solution. This means that there are no solutions.