Solve 1=e^1.4x

$$1 = e ^ { 1.4 x }$$

Solve for x

$$x=0$$

Steps Using Definition of Logarithm

Swap sides so that all variable terms are on the left hand side.

$$e^{1.4x}=1$$

Take the logarithm of both sides of the equation.

$$\log(e^{1.4x})=\log(1)$$

The logarithm of a number raised to a power is the power times the logarithm of the number.

$$1.4x\log(e)=\log(1)$$

Divide both sides by \log(e).

$$1.4x=\frac{\log(1)}{\log(e)}$$

By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

$$1.4x=\log_{e}\left(1\right)$$

Divide both sides of the equation by 1.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$x=\frac{0}{1.4}$$

Solve for x (complex solution)

$$x=\frac{i\times 10\pi n_{1}}{7}$$

$$n_{1}\in \mathrm{Z}$$