Solve for x; 9.2=0.6667log(x)

Can anyone solve this equation step by step?

Question

Solve for x; 9.2=0.6667log(x)

Can anyone solve this equation step by step?

anonymous · Answer

@Hero @ganeshie8 can you help please?

nincompoop · Answer

use a calculator

anonymous · Answer

the calculator I have doesn't provide me with variables. I've tried multiple online calculators and they're not helping me.

nincompoop · Answer

www.wolframalpha.com

nincompoop · Answer

x = ab
when solving for a, what do you normally do?

hero · Answer

1. Change the decimals to a fraction. (this will ensure a more exact answer in the end)

$9.2 = 9 + \dfrac{2}{10}$

$0.6667 = \dfrac{2}{3}$

So you have:

$9 + \dfrac{2}{10} = \dfrac{2}{3} \log(x)$

hero · Answer

$9 + \dfrac{2}{10} = \dfrac{92}{10}$ so

$\dfrac{92}{10} = \dfrac{2}{3}\log(x)$

hero · Answer

Next multiply both sides by $\dfrac{3}{2}$:

$\left(\dfrac{3}{2}\right) \left(\dfrac{92}{10}\right) = \log(x)$

hero · Answer

The last step is the tricky part. The hint is that

$10^{log(x)} = x$

anonymous · Answer

alright, i got it. thanks