Solve each of the following equation to find x in terms of a where a>0 and a not equal to 100. The logarithms are to base 100

(a) a^x = 10^ 2x+1

(b) 2 log (2x) = 1 + log a

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- Dec 3rd 2012, 11:52 AMmysurLogarithm help needed please
Solve each of the following equation to find x in terms of a where a>0 and a not equal to 100. The logarithms are to base 100

(a) a^x = 10^ 2x+1

(b) 2 log (2x) = 1 + log a - Dec 3rd 2012, 12:54 PMMarkFLRe: Logarithm help needed please
a) Assuming we have

Take the of both sides:

Apply the property :

On the right, apply the property :

Solve for .

b)

On the right, apply the property :

Equate arguments, and take the valid root. - Dec 3rd 2012, 04:53 PMSorobanRe: Logarithm help needed please
Hello, mysur!

Are you sure of the instructions?

Quote:

Solve each of the following equations to find in terms of

where and .The logarithms are to base 100. . Really?

We have: .

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. . . . . . . .

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I . . . . . . . . . . . . .

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