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Mathematics
OpenStudy (anonymous):

.00001=1/10 3x+2

OpenStudy (anonymous):

Is that \[.00001=\frac{1}{10} (3x+2)\]?

OpenStudy (anonymous):

i think it might be an exponent

OpenStudy (anonymous):

1/10 ^ 3x+2

OpenStudy (anonymous):

\[.00001=\frac{1}{10}^{3x+2}\]\[.00001=\frac{1^{3x+2}}{10^{3x+2}}\]\[.00001=\frac{1}{10^{3x+2}}\]\[0=\frac{100000}{10^{3x+2}}\]\[10^{3x+2}=100000\]\[10^{3x+2}=10^5\] So \[3x+2=5\]\[3x=3\]\[x=1\]

OpenStudy (anonymous):

thanks you really helped me out

OpenStudy (anonymous):

No worries :)

OpenStudy (anonymous):

.00001 = (1 / 10)^(3x +2) Multiply and divide by 100000 on left hand side 1/100000 = 1/10^(3x+2) 100000 = 10^(3x + 2) 10^5 = 10^(3x +2) here base values are equal, so equate the exponents 5 = 3x +2 -2 -2 ------------------ 3 = 3x divide by 3 on both sides 3/3 = 3x/3 1 = x

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