Question

Solve 12^x-2=20 round to the nearest ten-thousandth

Answer 1

Answer:

x = 1.2439

Step-by-step explanation:

The equation given is:

$12^{x} - 2 = 20$

Simplifying this, we have:

$12^x = 20 + 2\\\\\\12^x = 22$

To solve this, we have to convert it from index form to logarithmic form:

$log_{12}22 = x$

Using one of the laws of logarithm, we have that:

$\frac{log_{10}22}{log_{10}12} = x$

This will give us:

$\frac{1.3424}{1.0792} = x\\\\\\1.2439 = x$

=> x = 1.2439

Answer 2

12^x = 22 
x * log 12 = log 22 
finsih that then you round it to the nearest thousandth 
that's what i learnt.