Write expression as the logarithm of a single expression or number:
ln(3x+2)+ln(x+4)
ln[(3x+2)(x+4)] = ln(3x^2 + 14x + 8)
log10(x+3)-4log10x as a single logarithm
To express the given expression as the logarithm of a single expression or number, we can use the product rule for logarithms. The product rule states that when adding logarithms with the same base, it is equivalent to taking the logarithm of their product.
Using the product rule, we can rewrite the given expression as a single logarithm as follows:
ln(3x+2) + ln(x+4)
= ln((3x+2)(x+4))
Therefore, the given expression can be expressed as the logarithm of a single expression or number: ln((3x+2)(x+4)).