Question

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

Answer 1

x = log150/log10000

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