How do you slove for x?

Question

10^x+6 = 300
How do you put this into the calculator?
Thanks

Answer 1

use log..

Answer 2

First, solve for x, and then use your calculator to find the exact value. Because this will be a logarithm of base 10, you won't have to use the change of base formula or anything like that (which the previous answerer suggested). So, here's the algebra:

10^x + 6 - 300
==> subtract 6 from both sides
10^x = 294
==> take log base 10 of both sides
log(10^x) = log(294)
==> simplify left side
x = log(294)

Now, to put this answer in the calculator, it's rather simple. This is how it would be done on any graphing calculator:

Type [ LOG ]
Type [ ( ] if a parenthesis is not automatically there
Type [ 2 ]
Type [ 9 ]
Type [ 4 ]
Type [ ) ]
Type [ ENTER ]

If you have a scientific calculator, it may be even simpler:

Type [ 2 ]
Type [ 9 ]
Type [ 4 ]
Type [ LOG ]
Type [ = ]

The answer should be x = 2.46834733.

Answer 3

10^x+6 = 300

10^x = 300 - 6
10^x = 294

So this is just an exponential form of log.
Here's a basic formula.
a^x = y
log_base a (y) = x.

log_base 10 (294) = x
log (294) = x

x= 2.46834733

(PS... type "294" into your scientific calculator, then hit "log".)
If you want to check it... type:"2.46834733" then the "10^x" button to see if it goes back to 294 as an answer.

Answer 4

10^x = 300 - 6 = 294

x = log 294 = log 100 + log 2.94

= 2 + 0.4683473

= 2.4683473

Answer 5

log is taken to be log to base 10 in the following:-
10^x = 294
x log 10 = log 294 (294 log on my calculator)
x = 2.47

Answer 6

Use log function

Answer 7

X = 2.468347331

Answer 8

Depends on which calculator you are using............