SOLUTION: How can I solve this exponential equation alegbracally? 225[(1+0.05)^x/0.05]=300000

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Question 859278: How can I solve this exponential equation alegbracally? 225[(1+0.05)^x/0.05]=300000
Answer by josgarithmetic(39633) About Me  (Show Source):
You can put this solution on YOUR website!
Best understanding is that you are asking for this:
225%28%281%2B0.05%29%5Ex%2F0.05%29=300000

Starting from 1.05%5Ex=200%2F3
log%2810%2C1.05%5Ex%29=log%2810%2C200%29-log%2810%2C3%29
x%2Alog%2810%2C1.05%29=log%2810%2C200%29-log%2810%2C3%29
Either log table or electronic calculator,
x%2A0.021189=2.30103-.47712
highlight%28x=86.08%29