Thread: Log

**Makron** · October 12th 2009, 11:11 AM

Need to solve X

15000*1,02^x = 12000*1.035^x

Thank you in advance

**e^(i*pi)** · October 12th 2009, 11:27 AM

Originally Posted by Makron

Need to solve X

15000*1,02^x = 12000*1.035^x

Thank you in advance

Divide by 12000

$\frac{5}{4}(1.02^x) = 1.035^x$

$ln \left(\frac{5}{4} \times 1.02^x \right) = x\,ln(1.035)$

$ln(1.25) = x\,ln(1.035) - x\,ln(1.02) = x(ln(1.035)-ln(1.02))$

$x = \frac{ln(1.25)}{ln(1.035-ln(1.02))}$

**melvis** · October 12th 2009, 11:30 AM

x=1.52851

**e^(i*pi)** · October 12th 2009, 11:33 AM

Originally Posted by melvis

x=1.52851

I get 15.3 (3sf)

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