SOLUTION: 10(5-10^3x-5)=9 x=

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Question 911761: 10(5-10^3x-5)=9
x=
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
do you have this
10%285-10%5E3x-5%29=9
or this
10%285-10%5E%283x-5%29%29=9
ok
10%285-10%5E%283x-5%29%29=9
50-10%2A10%5E%283x-5%29=9
50-10%5E%283x-5%2B1%29=9
50-10%5E%283x-4%29=9
50-9=10%5E%283x-4%29..............since 10%5E%283x-4%29=10%5E%283x%29%2F10%5E4 we have
49=10%5E%283x%29%2F10%5E4
49%2A10%5E4=10%5E%283x%29
490000+=+1000%5Ex
log%28%2849%2A10%5E4%29%29=log%2810%5E%283x%29%29
log%28%287%5E2%2A10%5E4%29%29=log%2810%5E%283x%29%29
log%28%287%5E2%2A10%5E4%29%29=log%2810%5E%283x%29%29 ..........10%5E4=2%5E4%2A5%5E4
log%28%287%5E2%2A2%5E4%2A5%5E4%29%29=3x%2Alog%2810%29
2%28log%28%287%2A2%5E2%2A5%5E2%29%29%29=3x%2Alog%282%2A5%29
2%28log%287%29%2B2log%282%29%2B2log%285%29%29=3x%2Alog%2810%29

2%28log%287%29%2B2log%282%29%2B2log%285%29%29%2F%283%28log%282%29%2Blog%285%29%29%29=x

real solution:


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
10(5-10^3x-5)=9
x=


10%285+-+10%5E%283x+-+5%29%29+=+9

5+-+10%5E%283x+-+5%29+=+9%2F10

5+-+9%2F10+=+10%5E%283x+-+5%29 

4%261%2F10+=+10%5E%283x+-+5%29

10%5E%283x+-+5%29+=+41%2F10

log+%2841%2F10%29+=+3x+-+5

log 41 – log 10 = 3x – 5

log 41 – 1 = 3x – 5

log 41 = 3x – 5 + 1

log 41 = 3x – 4

log+%2810%2C+41%2F10%29+=+3x+-+4 ------- Applying change of base 

1.612784 = 3x – 4

1.612784 + 4 = 3x

5.612784 = 3x

5.612784%2F3+=+x, or highlight_green%28highlight_green%28x+=+1.870928%29%29

You can do the check!! 

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