The expression log(a) + x log(c) simplifies to log(ac^x) using logarithmic properties, specifically the product rule and sum-to-product rule.
The given expression is log(a) + x log(c). To simplify this expression, we can use logarithmic properties, specifically the product rule of logarithms which states that log(m) + log(n) = log(mn). Applying this rule, the expression can be simplified as log(a) + log(c^x).
Further simplification involves combining the logarithmic terms into a single logarithm. Using the sum-to-product rule, which states that log(m) + log(n) = log(m * n), the expression becomes log(ac^x). Therefore, the simplified form of log(a) + x log(c) is log(ac^x).
In summary, the simplified expression for log(a) + x log(c) is log(ac^x), obtained by applying logarithmic rules to combine and condense the terms.
The question probable may be:
What is the simplified expression or solution for log(a) + x log(c)?