2 can be expressed as a power of 3, 3 can be expressed as a power of 5. Do not live in the world that has only rational numbers; it is irrational to do that.

1. Exponents and Logarithms

2. Exponents and Logarithms
If log1227 = a, log916 = b, find log8108.
(a)
2(a + 3)
3b
(b)
2(a + 3)
3a
(c)
2(b + 3)
3a
(d)
2(b + 3)
3b

3. Exponents and Logarithms
log8108 = log8 (4 × 27)
log8108 = log84 + log827
log84 =
2
3
log827 =
log1627
log168
log827 =
log1627
3/4
If log1227 = a, log916 = b, find log8108.

4. Exponents and Logarithms
log827 =
4
3
log1627
log827 =
4
3
log927
log916
log827 =
4
3
3/2
log916
log827 = 2 × log169
log916 = b
If log1227 = a, log916 = b, find log8108.

5. Exponents and Logarithms
log169 =
1
b
log827 =
2
b
log8108 =
2
3
+
2
b
= 2
1
3
+
1
b
=
2(b + 3)
3b
. Answer choice (d)
If log1227 = a, log916 = b, find log8108.

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