x 10exp(−0.17x)=1 what is the value of x

Ok so mine is correct for the question that I answered.

A question to the asker.

Why would you write exp if you meant 'e' ?

They are not the same thing at all !!

Thank you Alan :)

Mmmm   What is the question?

What is between the x and the 10?

x 10exp(−0.17x)=1 what is the value of x

x ? 10^(-0.17x) = 1

Is it meant to be multiply??

\(x \times 10^{-0.17x} = 1\\ x \times \frac{10^{-0.17x}}{1} = 1\\ x \times \frac{1} {10^{0.17x}}= 1\\ x=10^{0.17x} \\ log x=0.17x\)

I am going to cheat a bit and get a graphical solution

I am graphing y=log(x)  and  y=0.17x

Looks to me like there is no solution since the 2 graphs don't intersect.

Can someone check this please?

Here are graphs showing two solutions and the corresponding numerical values obtained using Newton-Raphson:

Alan, could you please what is wrong with my logic ?

Need 10exp(-0.17x) to be interpreted as 10*e^(-0.17x) rather than 10^(-0.17x).