Wednesday

July 30, 2014

July 30, 2014

Posted by **Greg** on Wednesday, January 23, 2013 at 1:50pm.

Log (base 4) 2 + log (base 16) 2

- Calculus -
**Steve**, Wednesday, January 23, 2013 at 3:01pmsince 16=4^2, log_4 = 2log_16

so, converting all to base 4 logs,

log4(2) + 1/2 log4(2)

Since 2 = √4, log4(2) = 1/2, and we have

1/2 + 1/2 (1/2) = 1/2 + 1/4 = 3/4

or, looking at it another way,

2 = √4, so log4(2) = 1/2

2 = ∜16, so log16(2) = 1/4

1/2 + 1/4 = 3/4

**Related Questions**

Algebra 2 - -Explain the difference between log base b (mn) and ( log base b of ...

Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...

Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...

math - Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9...

Trig - log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i...

check! - here is the question: log5(x-4)= log7x solve for x. These are just base...

math - i have 2 math questions i dont understand so if you could help me i would...

Algebra - How can you find log base 3 of 242/5 using the given information ...

Math - Help with these problems would be greatly appreciated: 1.Find the ...

math - mathematically Evaluate without using tables 2 log base 10 raised 2 power...