how do i solve this logarithmic function?

log x + log 14 = log 98

log (14x) = log 98

raise both sides to power of 10

14x = 98

x = 7

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the elementary logarithmic function has a base of 10. As you extra your analyze you will see that different logarithmic purposes might have a base such because of the fact the variety 2 and could be written as log(base small 2)x. The inverse of the log is exponentiation. as a result, if the backside is ten you will possibly have 10^(y/3). additionally observe that because of the fact the backside adjustments so will the exponential. So if it have been 2, it may be 2^(x-a million) or despite the fact that.

log 14x = log 98

x = 7

multiplication property of logarithms

log 14 + log x = log 14x

logx= log98 - log 14

Logx= Log(98/14) - use the law of logs: (LOGX-LOGY = LOG X/Y)

Logx= log 7

the LOGS cancel

x=7