How do you rewrite the equation ${log}_{7} 343 = 3$ $log_7 343= 3$ in exponential form?

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Answer 1 · 2017-01-23T11:33:14

${log}_{7} 343 = 3 \Rightarrow 7^{3} = 343$ $log_(7)343=3=>7^3=343$

definitin of a log

${log}_{b} a = c \Rightarrow a = b^{c}$ $log_ba=c=>a=b^c$

so

${log}_{7} 343 = 3 \Rightarrow 7^{3} = 343$ $log_(7)343=3=>7^3=343$

which can be quickly checked

$7 \times 7 \times 7 = 343 \sqrt{}$ $7xx7xx7=343 sqrt$

How do you rewrite the equation log7343=3log_7 343= 3 in exponential form?