How do you expand ${log}_{b} (5 b^{4})$ $log_b(5b^4)$ ?

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Answer 1 · 2016-08-22T21:15:06

${log}_{b} 5 b^{4} = 4 + {log}_{b} 5$ $log_b 5b^4=4+log_b 5$

${log}_{b} 5 b^{4}$ $log_b 5b^4$

= ${log}_{b} (5 \times b^{4})$ $log_b(5×b^4)$

= ${log}_{b} 5 + {log}_{b} b^{4}$ $log_b 5+log_b b^4$

= ${log}_{b} 5 + 4$ $log_b 5+4$

How do you expand logb(5b4)log_b(5b^4)?