Given that log base a(2)=0.29 and log base a (3) =0.46 , evaluate each of the following. Hint: use the properties of logarithms to rewrite the given logarithm in terms of the
the logarithms of 2 and 3.
a) log base a (1.5) =
b) log base a (6) =
c) log base a (4.5) =
d) loga base a (18) =
e) log base a (Square root of 3) =
f) log base a (4) =

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

The length of an intercepted arc of a central angle of a circle is 4 cm. if the radius of the circle is 5 cm what is the measurement of the central angle to the nearest whole degree

If the tip varies directly with the number of guest which equation represents between the tip,t, and the number of guest,g?