Consider the equation - 2 ⋅ 1 0 4 x = - 300 - 2⋅10 4x = -300minus, 2, dot, 10, start superscript, 4, x, end superscript, equals, minus, 300. Solve the equation for x xx. Express the solution as a logarithm in base - 10 1010. x = x=x, equals

x = log150/log10000

Step-by-step explanation:

Given the equation - 2.10^4x = - 300

To express x as a log to base 10:

Step 1;

Divide both sides by - 2

-2.10^4x = - 300

10^4x = - 300/-2

10^4x = 150

Step 2:

Taking log of both sides

log 10^4x = log 150

4x = log 150

x = log150/4

x = log150/log10000