Is there a way to get 10-base lognormal distribution data?

I want to obtain a 10-base lognormal distributed data set. (mean & std values which I set)

I know that I can get a lognormal distribution data set using the MATLAB lognrnd function.

However, this data is e-base lognormal.

Is there a way to get 10-base lognormal distribution data?

example)

N = lognrnd(5, 10, [1,10000]);

mean(log(N)) = 5

std(log(N)) = 10

-> this is e-base lognormal distribution, but I want 10-base lognormal distribution data set

Thanks :)

[Torsten]

What is "10-base lognormal distribution" ? The distribution of Y = 10^X if X is a standard-normal ?

[Ins]

Yes! if Y=10^X, the distribution of log10(Y) is normal distribution. Y is lognormal distribution (10-base).

Answer 1

[Bruno Luong]

log10rnd = @(mu,sigma, varargin) lognrnd(log(10)*mu, log(10)*sigma, varargin{:});

N = log10rnd(5, 10, [1 1000000]);

% Check
mean(log10(N))

ans = 4.9934

std(log10(N))

ans = 10.0102