find the value of x.
log x1/100,000=-5
the actual problem looks like the sqroot sign but the little dip is an x and on top is 1 and then 100,000 on the inside if that makes any sense?
Assume that the expression is..
log_x (1/100,000) = -5
Note that 1/100,000 = (1/10)^5 = 10^(-5). Hence..
log_x 10^(-5) = -5
-5log(10)/log(x) = -5
log(10)/log(x) = 1
log(10) = log(x)
x = 10
I hope this helps!
I think you mean log (base x) 1/100000 = -5
If so the x = 10 because 10^-5 = 1/100000
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Verified answer
Assume that the expression is..
log_x (1/100,000) = -5
Note that 1/100,000 = (1/10)^5 = 10^(-5). Hence..
log_x 10^(-5) = -5
-5log(10)/log(x) = -5
log(10)/log(x) = 1
log(10) = log(x)
x = 10
I hope this helps!
I think you mean log (base x) 1/100000 = -5
If so the x = 10 because 10^-5 = 1/100000