log_88(7-x)=log_864x , log_8((7-x))/x=1 log_8((7-x))/(8x)=0 log_8(8(7-x))/x=2 Correct processing leading to one of these equations or the equivalent. NB needs to be a correct equation. 8(7-x)=64x,((7-x))/x=8,(7-x)/(8x)=1,(8(7-x)/x=64 Correct ...
1 Use logarithms to solve the equation5^(x+3)=7^(x-1) .giving the answer correct to 3 significant figures. 相关知识点: 试题来源: 解析 Introduce logarithms and use power law twiceObtain (x+3)log 5=(x-1)log 7 or equivalentSolve linear equation for xObtain 20.1 ...
1 U Use logarithms to solve the equation 3 = 2+2, giving your answer correct to 3 significant figures.[4] 相关知识点: 试题来源: 解析 Attempt use of power law for logarithmsObtain xlog3 = xlog2 + 2log2 or equivalentAttempt solution for x of linear equationObtain 3.42 ...
We have already seen that everylogarithmic equationlogb(x)=ylogb(x)=yis equivalent to the exponential equationby=xby=x. We can use this fact, along with the rules of logarithms, to solve logarithmic equations where the argument is an algebraic expressi...
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9. Solve the following equation.e^(4-7x)+11=20 相关知识点: 试题来源: 解析 Step 1Before we put any logarithms into this problem we first need to get the exponential on one side by itself so let's do that first.e^(4-7x)=9Step 2Now we can take the logarithm of both sides and ...
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Neither of those are equal to 13 or 10sqrt(10)+ 3.In summary, the given equation can be rewritten as 2log(x-3)^2=log(x-3)+3. By using the laws of logarithms, it can be simplified to 4log(x-3)=3. Solving for log(x-3), we get log(x-3)=1. This means that x-3=10,...