Answer: To condense the expression 3log2 - 5logx, we can use the logarithmic properties, specifically the product rule and power rule of logarithms.
The product rule states that alogb + clogb = logb((b^a) * (b^c)), and the power rule states that alogb = logb(b^a).
Applying these rules, let's condense the given expression step by step:
3log2 - 5logx
Applying the power rule to log2: log2(2^3) - 5logx
Simplifying: log2(8) - 5logx
log2(8) can be further simplified as log2(2^3) using the power rule: 3 - 5logx
Therefore, the condensed form of the expression 3log2 - 5logx is 3 - 5logx.