5e^6x+3 = 0.1

how do i solve this?

-1.152 to the nearest thousandth.

Step-by-step explanation:

5e^6x+3 = 0.1

Divide both sides by 5:

e^6x+3= 0.02

Take logs to the base e of both sides:

ln e^(6x+3) = ln 0.02

6x + 3 = ln 0.02      (by the definition of a logarithm).

x = (ln 0.02 - 3) / 6

x = -1.152 .

Properties of Similar Triangles

Please refer to the figure attached.

Corresponding angles are congruent (same measure) So in the figure above, the angle P=P', Q=Q', and R=R'.

Corresponding sides are all in the same proportion. Above, PQ is twice the length of P'Q'. Therefore, the other pairs of sides are also in that proportion.