How do you solve $5 \cdot 18^{6 x} = 26$ $5 * 18^(6x)=26$ ?

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Answer 1 · 2016-03-28T22:14:09

You must "undo" the order of operations in reverse!

Step 1: Divide both sides by 5:
$18^{6 x} = (\frac{26}{5})$ $18^(6x)=(26/5)$

Step 2: Apply properties of logarithms:
${log}_{18} (\frac{26}{5}) = 6 x$ $log_(18)(26/5) = 6x$ (the power is the answer to a log)

Step 3: Use a calculator to evaluate the left side:
$.570397 = 6 x$ $.570397= 6x$

Step 4: Divide both sides by 6:
$.095066 = x$ $.095066=x$

How do you solve 5⋅186x=265 * 18^(6x)=26?