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solve: log3(x+2)=10

3 is little beside g

2006-10-31 12:34:28 · 3 answers · asked by Sherry N 1 in Science & Mathematics Mathematics

3 answers

What you have is:
log (base 3) of (x+2) is 10.

This is equivalent to:
3 to the 10th power equals (x+2), which can be written:
3^10 = (x+2)

3^10 is 59049. Once you substitute that into the equation, the algebra is very easy.

In fact, Shinu has already solved the problem for you. I note, however, that she rounded her answer to 4 significant digits, not to 4 decimal places as you asked. The answer to 4 decimal places would be:

x = 59047.0000

2006-10-31 12:39:27 · answer #1 · answered by actuator 5 · 0 0

log3(x+2)=10
3^10=x+2
59049=x+2
x=59047
round it into 4 decimal
590.5*10^2

2006-10-31 12:38:23 · answer #2 · answered by Anonymous · 1 0

Fun fun fun, rewrite in exponential form

3^ 10 = x + 2
59047 = x
this is the answer, are you sure it is the right question, there are certainly no decimal places

2006-10-31 12:45:44 · answer #3 · answered by Anonymous · 1 0

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