Question

Find the value of each logarithm using the change of base formula. --> CLICK 2 SEE.

Answer 1

\[LOG _{3}0.9375\]

Answer 2

\[log_ab=\frac{log b}{log a}\]

Answer 3

Remember the change of base formula is:

\[Log_x a = \frac{ \log_{10} a }{ \log_{10} x }=\frac{ \log a }{ \log x }\]

Answer 4

so \[ \frac{ \log 0.9375 }{\log 3 }\] ?

Answer 5

Yes, just evaluate that in your calculator.

Answer 6

but if my teacher would say find the exact value, would i leave it in this form? because we can't use calculators on the test.

Answer 7

Yes, then you leave it like this.

Answer 8

thanks !

Answer 9

No problem. Hope it helped.