Question

Write the expression as a single logarithm.4logby + 3logbxa) logb(y^4x^3)b)logb(y^4+x^3)c) logb (yx^4+3)d) (4 + 3) logb(y+x)

Answer 1

The first step is to apply the property of exponents in logarithms:

$\begin{gathered} 4\log _by+3\log ^{}_bx \\ \log _by^4+\log _bx^3 \end{gathered}$

Now, apply the property of products in logarithms:

$\log _by^4+\log _bx^3=\log ^{}_b(y^4x^3)$