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Use the change-of-base formul to rewrite the logarithm using the common logarithm or the natural logarithm.
`\log_5(18)`
First, write the exact answer. Do not round.
`\log_5(18)=`
Now, use a calculator to evaluate the logarithm. Round to four decimal places.
`\log_5(18)~~`
To use the change-of-base formula for converting `\log_5(18)` into a form that uses the common logarithm (base 10) or the natural logarithm (base e), remember that this formula is defined as: `\log_a x=\frac{\log_b x}{\log_b a}`where `a` can be any other base, typically `10` for common logarithms or `e` for natural logarithms. Choose one base to work with, and apply it consistently to both the numerator and the denominator.
Get help:
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Decimal values are not allowed
`log(18)/log(5) or ln(18)/ln(5)`
Box 2: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Your answer should be accurate to at least 4 decimal places.
1.7959