Write the Expression as a Single Logarithm with Coefficient 1 $a \neq 1 \text { and } b \neq 1$

question 76

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with $a \neq 1 \text { and } b \neq 1$ .
- $$\frac { 8 } { 9 } \log _ { b } 2 y + \frac { 4 } { 5 } \log b \left( 4 y ^ { 2 } \right)$$

• A) \(\log _ { b } \left( 8 y ^ { 9 / 10 } \right)\)
• B) \(\log _ { b } \left( 2 ^ { 39 / 20 } y ^ { 63 / 40 } \right)\)
• C) \(\log _ { b } \left( 2 ^ { 112 / 45 } \mathrm { y } ^ { 112 / 45 } \right)\)
• D) \(\log _ { b } \left( 8 \mathrm { y } ^ { 39 / 40 } \right)\)

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