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Recall: Evaluate, without a calculator. 4log464 b) 5log5125c) 3log320d) blogbxWhat is the mistake in this solution?Evaluate log510+log210 log510+log210=log10100=2Write the domain for the following functions. fx=logbxfx=x fx=1xfx=log(x-5)fx=log(x2-9)fx=log1x-4Example 1 Write each as a single log. Write restrictions on variables if applicable.b) d) log3x+log3x-1-log32xlog2p-2logq+3log?(pq)f) log24+2log2x-12log2y2log312-log36-3log32Example 2Simplify. State any restrictions.b) d) Example 3Write each as a sum or difference of logs. b) c) d) Challenge:Prove that log1ab=-logabFor what positive value of c does the line y=-x+c intersect the circle at exactly one point? ................
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