Solve for x

2ln (5x) = - 4

Ln (5x) = 4 ln ⁡ (5x) = 4 To solve for xx, rewrite the equation using properties of logarithms. e ln (5x) = e4 e l Solve for x Tap for more steps ... Exponentiation and log are inverse functions. 5x = e4

Divide each term by 5 and simplify. Tap for more steps ... Divide each term in 5x = e4 5x = e4 by 5. Reduce the expression by cancelling the common factors.

Cancel the common factor. 5x 5 = e4 5

Divide x by 1 to get x. x = e4 5 x = e4 5 Verify each of the solutions by substituting them back into the original equation ln (5x) = 4 and solving. In this case, all solutions were found to be valid. x = e4 5 x = e4 5 The result can be shown in both exact and decimal forms. Exact Form: x = e4 5 x = e4 5 Decimal Form: x = 10.91963000 ...