How do you solve ${8.2}^{n - 3} = 42.5$ $8.2^(n-3)=42.5$ ?

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Answer 1 · 2016-10-27T16:29:35

$n = \frac{ln 42.5}{ln 8.2} + 3 \approx 4.78$ $n=ln42.5/ln8.2 +3 ~~4.78$

${8.2}^{n - 3} = 42.5$ $8.2^(n-3) = 42.5$

${ln 8.2}^{n - 3} = ln 42.5$ $ln 8.2^(n-3)=ln 42.5$

$(n - 3) ln 8.2 = ln 42.5$ $(n-3) ln 8.2=ln 42.5$ -Use the property ${ln x}^{n} = n \cdot ln x$ $ln x^n=n* ln x$

$n - 3 = \frac{ln 42.5}{ln 8.2}$ $n-3= ln42.5/ln8.2$

$n = \frac{ln 42.5}{ln 8.2} + 3 \approx 4.78$ $n=ln42.5/ln8.2 +3 ~~4.78$

How do you solve 8.2n−3=42.58.2^(n-3)=42.5?