Can somebody help me find the value for 'X' in this equation? 10^x-7 = 10^3x+8

Question

Can somebody help me find the value for 'X' in this equation?  10^x-7 = 10^3x+8

mrnood · Answer

is this the correct equation?

$$10^{(x-7)}= 10^{(3x+8)}$$

or

$$10^{x}-7= 10^{3x}+8$$

anonymous · Answer

The first one sir.

mrnood · Answer

In that case - you can ignore the fact that they are exponents

(x-7)=(3x+8)

anonymous · Answer

Okay, could you show me the method to solving for x?

mrnood · Answer

No - I won't show you that.

If you are dealing with equations such as in your question then you must be able to solve the simple equation above.
Simply move all x terms to one side, and constant terms to the other - taking note of the signs....

anonymous · Answer

I'm sorry i'm still having a little trouble putting in the equation. Im not the best at this. Could you show me how the equation is the put together to solve?

mrnood · Answer

I'm sorry  - I believe that you must have the skills to solve this yourself

x-7 = 3x+8

mrnood · Answer

Add 7 to each side of the equation
Then subtract 3x from each side of the equation

anonymous · Answer

After that would the new equation would be
x-11 = 7x+8 ?

mrnood · Answer

start by adding 7 to each side of the equation

anonymous · Answer

X-14 = 10x+8?

mrnood · Answer

write the equation out as it is - but add "+7" to each side

anonymous · Answer

x-7+7=3x+8+7

mrnood · Answer

OK - now do the adding up of JUST the numbers on each side

anonymous · Answer

x-14=3x+15?

mrnood · Answer

Not quite right 

The right side is correct - but the left side is wrong

 x-7+7=3x+8+7

Try again

anonymous · Answer

x7=3x+15

anonymous · Answer

the 7 becomes positive?

mrnood · Answer

sorry - you started by writing an equation involving exponents, but now cannot add -7+7

Are you focussed on doing this?? - I will not give oyu the answer...

anonymous · Answer

Yeah, I am.

mrnood · Answer

so - what is
 x-7+7 ??

anonymous · Answer

0?

mrnood · Answer

no

start with x ... subtract 7 .... add 7 ....... what is left?

anonymous · Answer

Im getting zero.

mrnood · Answer

Have another think - when you don't get 0 come back

mrnood · Answer

hint: x represents some unknown number - any unknown number.....

anonymous · Answer

3?

mrnood · Answer

I don't think oyu are in a position to proceed with this question. I can't see how oyu are asking questions of this sort without having already been able to solve an equation such as you have.

I don't mean to discourage you - but you must work on some basic algebra (equations) before you can tackle this.

Good luck

anonymous · Answer

Okay. Thanks for the help anyways.