anonymous one year ago what is the value of f(0) for the function...

1. anonymous

$\log_{10} 10+9^{x}+(x-2)(x-1)$

2. amoodarya

do you mean ? $f(x)=\log_{10} (10+9^x+(x-1)(x-2))$

3. anonymous

hmm... no thats not how it asked me but could it have been meant that way?

4. phi

5. phi

$\log_{10} 10+9^{0}+(0-2)(0-1)$ let's do the easy part: what is 0-2 ? what is 0-1 ?

6. anonymous

$\log_{10} 10+9^0(-2)(-1)$

7. phi

I hope you mean $\log_{10} 10+9^{0}+(0-2)(0-1)\\ \log_{10} 10+9^{0}+-2\cdot -1$

8. anonymous

yes

9. phi

next, what is -2*-1 ?

10. anonymous

2

11. phi

so we now have $\log_{10} 10+9^{0}+ 2$ next: any number (except 0) raised to the "0 power" is 1. using that rule, what is 9^0 ?

12. anonymous

1

13. phi

so $\log_{10} 10+1+2 \\ \log_{10} 10+3$

14. phi

I assume you don't know the log base ten of 10 ? log means "what exponent" base ten to "what exponent" is 10 ? 10^x = 10 what is x ?

15. phi

you should know 10^0 = 1 10^1 = 10 10^2 = 100

16. anonymous

so $\log_{10} 10$ equals to 1?

17. phi

yes. If you have a calculator and try log 10 you should get 1 so we now have 1+3

18. anonymous

ok got it