Question

Solve the equation. Round to the nearest hundredth. Show work.

$1.2$ · $10x{4x} - 4.2 = 9.9$

Answer 1

Answer:

x=0.27

Step-by-step explanation:

We are given the equation;

$1.2*10^{4x}-4.2=9.9$

The first step is to add 4.2 on both sides of the equation;

$1.2*10^{4x}=14.1$

The next step will be to divide both sides of the equation by 1.2;

$10^{4x}=11.75$

Next we take natural logs on both sides of the equation;

$(4x)ln10=ln11.75$

Finally, we divide both sides by 4*ln10 and simplify to determine x;

$x=\frac{ln11.75}{4ln10}=0.27$