SOLUTION: Suppose a\neq 0. Compute log_{8a} 4b if a = 1 and b = 32.

Question 1209354: Suppose a\neq 0. Compute log_{8a} 4b if a = 1 and b = 32.
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.

To answer this question, I should know what this writing means log_{8a} 4b but from the post and from your non-mathematical writing I can not get it. These dances with hieroglyphs is not Math.

Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

Change of base rule.

Plug in a = 1 and b = 32.

Rewrite 128 and 8 as powers of 2.

Use the rule log(A^B) = B*log(A)

--------------------------------------------------------------------------

Another approach

Since the bases of the previous equation are equal, the exponents must be equal.

--------------------------------------------------------------------------

Answer: 7/3

RELATED QUESTIONS
if (a-b) : (a+b) = 1:11, find the ratio (5a+4b+15) :... (answered by stanbon)
Let a, b, and c be real numbers such that a - 7b + 8c = 4 and 8a + 4b - c = 7. Then a^2 (answered by greenestamps)
Suppose f(x) is a rational function such that 3 f \left( \frac{1}{x} \right) -... (answered by CPhill)
Suppose a not equal to 0. Compute log_(2^a) 2^b in terms of a and... (answered by stanbon)
Suppose a does not equal 0. Compute log_{2^a} 2^b in terms of a and b... (answered by ikleyn)
I) let A=(6 9)and (1 2)compute A^2,AB,BA ( -4 -6) (-1 0) II)if A= (3 -1... (answered by Fombitz)
1) One of the many concerns of college students today is the time required for them to... (answered by stanbon)
1) One of the many concerns of college students today is the time required for them to... (answered by solver91311)
a+4/8a=1-1/8a (answered by macston)