Apply Logarithm Power Rule: We are given the expression logd+2logq and we need to condense it into a single logarithm.According to the logarithm power rule, which states that alogb=log(ba), we can rewrite 2logq as log(q2).
Apply Logarithm Product Rule: Now we have logd+log(q2). According to the logarithm product rule, which states that loga+logb=log(ab), we can combine these two logarithms into one.So, logd+log(q2) becomes log(d⋅q2).
Final Condensed Form: We have successfully condensed the logarithm expression into a single logarithm without any mathematical errors.The final condensed form is log(d⋅q2).
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