SOLUTION: Solve for xto the nearest hundredth: log7 75=x

Question 404464: Solve for xto the nearest hundredth: log7 75=x
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

You mean you don't know what power of 7 is 75? Well, neither do I. So just use the base 7 log button on your calculator!

Just kidding. No one's calculator has a base 7 logarithm button. But it probably does have a base 10 (aka log) button and/or a base e (aka ln) button. So if we can express your base 7 log in terms of base 10 or e logs, we can use our calculator. Fortunately we have the base conversion formula: .

Using the conversion formula we can change to base 10:

or to base e:

Now we can get out our calculators, find the two logarithms and divide them. And believe it or not, it doesn't matter whether we use base 10 or base e logarithms. They both result in the same answer! (Try then both if you don't believe me.)
RELATED QUESTIONS
51 is .75% of solve for base and round to the nearest hundredth (answered by Alan3354)

solve for x... (answered by nerdybill)

Solve for x to the nearest hundredth: 1.72^x= 32. how do I get x? (answered by josmiceli)

Solve for x to the nearest hundredth {{{ log( 3, x ) }}} = 2 - {{{ log( 3, x+2 ) }}} (answered by Alan3354)

let f(x)=9-x, g(x)=xto the second power +x h(x)=x-2 and solve for... (answered by stanbon)

Solve for x. round your answer to the nearest hundredth.... (answered by funmath)

Solve for x. Round to the nearest hundredth. 3*4^x-1 +... (answered by math_tutor2020)

Solve for x to the nearest hundredth: logx+log3=0.7292 please show work.... (answered by Alan3354)

Solve for x (round your answer to the nearest hundredth): 4e^2x + 5 = 6 (answered by lwsshak3)