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# Logarithms, oh joy watch

1. I'm really new to the Student Room and was wondering if I oculd have any help with this:

Solve each of the following equations to find x in terms of a where a > 0 and a doesn't equal 100. The logarithms are to base 10:

a. a^x = 10^(2x+1)
b.2log(2x) = 1 + loga

Thanks
2. a. Take log base 10 on either side and use the rule logX^n = nlogX
3. b. Write 1 as log10 then rearrange the equation so that they are all on one side. Then combine the logs using the rule loga - log b = log(a/b).

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Updated: March 24, 2011
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